Yup, that was a nice visual explanation. Thing is he doesnt explain pi, he explains the formulas for circumference and area of a circle. To me explaining Pi would be explaining how you can find out/calculate the number 😅 And im not talking about measuring.
@@manuelvo1798when you discover how to find pi, you learn about the number of sides a circle has. I'll leave that for a problem for people to solve and find out themselves
Myeah, visualization is good. But this won't work on me if the teacher uses a simple circle. In this video, it helps that the visual aid is actually pizza. 😂
And many times it's also expensive. I'd love to do stuff like this because I know my students would enjoy the experience but they would cost too much in my country. We don't get paid enough. 6 pizzas is 10% of my salary,
In my 52 years on this planet this has got to be the BEST EXAMPLE of how one should teach pi in the classroom! Thank you for teaching me something new!👍
Still begs the question why the circumference of a circle is 2*pi*r. But a good explanation of why the area of a circle is pi*r^2, assuming the circumference is 2*pi*r.
If the logic of the first part of the vid is reversed, it explains why circumference is 2 π r. Because 2r= Diameter of the pizza. Or πd So the circumference, as shown on the video in pie crust, is 3.14 pizza lengths(diameters). In other words, the 2 in “2 π r” is converting the radius to diameter.
@@RedBar3Dthe circumference of a circle is 2•pi•r... or maybe easier to visualize, 2•r•pi --> 2r•pi --> d•pi, because pi is derived from the relationship between the circumference and the diameter. Pi=circumference divided by diameter. In other words: circumference/diameter=3.14, since pi will always be bound to the ratio between circumference and diameter (3.14:1), you're essentially just doing algebra with the formula.
@@victorvolobuev507 pi is derived from dividing the circumference by the diameter (or 2•radius, if you prefer). 3.14 is simply the ratio between circumference and diameter. So, yes, whatever the diameter, the circumference will always be 3.14 times that number.
Im ever appreciative to you for this fantastic visually based explanation! My kids will be 2 decades ahead, TRULY grasping this concept, THIS in-depth!😊
I was thinking the same thing. Math always made more sense to me when I understood why these relationships between the members existed. No one ever explained to me the formula for the area of a circle.
@@rahee9482 I feel like, presuming that this was here in the US during the last 20ish to 40ish years, it's less that the individual teacher sucked than that the mandated teaching paradigm sucks. The administrative expectation for teachers has been more and more focused toward students knowing the thing and then if there's some extra time maybe you can teach toward understanding the thing.
@@chiblast100x This is taught in elementary school, Most, or almost schools have one teacher teaching math, science, history, geography, English, writing, and whatever else. It wasn't until I got to high school I had a dedicated math teacher.
The problem with rote memorization. It's why people forget what they learn all the time and don't understand the concepts or fundamentals to build upon. Check out how Archimedes or Pythagoras reasoned out some geometrical formulas if this kind of stuff interests you.
Learning by rote is not learning. Anything that is predicated on memorization, rarely means understanding. Understanding is gained from knowledge pursued out of curiousity, and curious minds ask questions - if those questions are stifled, unencouraged or plain forbidden, then true learning thru understanding, esp in young minds, is literally impossible - as well as being a heartbreaking waste of potential.
@@SharonCorbett Absolutely agreed. For some reason, I find it important to navigate the "psyops of the generations"...And essentially what I mean is when ACTUAL learning started to be destroyed. It seems the 60s/70s were a prominent time for memorization and not understanding. Mind you there was some actual learning mixed in there, but that was the beginning of a mass psyop of taking away skills and abilities from the population. Interesting stuff to examine.
My math teacher did something similar to this when I was in 6th grade. He started by challenging us how to find the area of a circle, and then spent the entire hour of class walking us through each of these concepts visually, step by step. Finally, when we got to finding out what Pi is, and how to find it, everything suddenly clicked into place. We solved his starting challenge easily, and then a few more until the period ended. It was one of the most satisfying math experiences I ever had as a student.
Love it! Start with the challenge, and then introduce the tools used to solve that challenge. I also really enjoy the intuitive explanation, although on occasion intuition/handwavy explanations has led me to incorrect mathematical derivations later in college days.
That's the best explanation and demonstration I have ever seen. I instantly understand it now without even wanting to. If I had this 30 years ago, that would have been great.
@@Ong.s_Jukebox they aren't trying to make us smart though. Ideally they only want us smart enough to do our job, but not smart enough to question them, or see through the lies
This is how math could've been easy for me I understood how to do the work, but never why. Not for easy math, but as it got more complicated, and I couldn't grasp the "why," these types of explanations would've been greatly appreciated. Thank you. Do more of these, please
ong, i’ve forever been told “this is done like this”, “that is done like that”, but i’ve never been told why are things like they are; the times that i’ve actually been told, i actually get the math
I was really good at geometry, was easy to me because it was about a concrete subject, but terrible at algebra in school. Those are different classes everyone took.
I missed the explanation for pi. Why does it exist? What is it for? Now that i know that pi*r² is just a geometric redefinition of what a circle is to a square... why do we need pi at all?
@@nicewhenearnedrudemostlyel489 Pi exists because it’s the ratio of a circle’s circumference to its diameter. It’s the same for every circle, no matter the size, which is why it’s so important. Pi lets us calculate anything related to circles-like their circumference, area, or even the volume of cylinders (pi*r^2*L). A cylinder, for instance, is basically just a bunch of circles stacked along a line in 3D space. Similar principles apply to any object that includes circles and circle-like shapes. Circles show up everywhere, and so does π. Planets orbiting stars, electrons moving around atoms, or even galaxies-most of those paths are circular or elliptical. On a more practical level, you see it in wheels and gears. Any machine, car, or bike with something spinning in it depends on π to work properly. Without it, we couldn’t figure out things like rotations, distances, or speeds when it comes to the rotation itself (sure you can calculate the average speed of a car, but if you want to go deeper than that, you have to work with geometry). Even something as simple as a lever involves circular motion. When you push or pull a lever, it moves in an arc around its axis-basically part of a circle. This is how things like torque and mechanical advantage are calculated, and π makes that possible. Pi doesn’t stop at geometry, though. It’s everywhere in math, physics, and even things like wave equations or statistics. It’s one of those numbers that connects so many different things in ways you wouldn’t expect. At the end of the day, circles are one of the most natural and universal shapes in the world. They’re everywhere-whether it’s in nature, machines, or the universe-and π is the tool that helps us make sense of all of it.
@@nicewhenearnedrudemostlyel489 pi exists like many other wonders of nature. It is a constant that is found in many places. As shown in the video, the circumference of a circle is always PI times its diameter, which is amazing. We named it PI because it is an important transcendental number and needed a separate symbol. I hope that helps
@@nicewhenearnedrudemostlyel489 Not exactly sure what you mean, but pi is simply a number, a ratio. We found that all circles have a circumference that is 3.14 times its diameter. We end up using this ratio a lot in math and science and noticed it had infinite digits after the decimal, so we gave it a special name "pi" (since we can't write the whole thing).
@@nicewhenearnedrudemostlyel489 You're asking the "wrong" questions. There is no "reason" why pi exists, it just does. There is no "what is it for", it just is. As for why we "need" pi, it's exactly because of what you said: Pi arises in the calculation for the area of a circle. Archimedes did this in 250 BC using polygons. He got to a 96-sided polygon, but that was only good enough to get him to pi = 3.14. And that's just not good enough. Also, it's actually not that circles come from rectangles, but the other way around: You can use circles to construct right angles, find the midpoint of a line segments, and double the length of a line segment. This lets you construct squares from any line segment.
Or, perhaps I should add, as an effective teacher for people who just don't have the moderate gift they do. That requires a certain brilliance as well.
Kids need Teachers like this guy. You Sir do an excellent job explaining mathematics. I can’t remember how to do long division or multiplication. I remember learning in 2nd grade… Now I’m lost. Can you make more math videos please?
@@deang5622 Why do you have to ask? Oh wait, I know..so you can make yourself feel superior. Do you know which space is too small to contain the human ego?
@@deang5622seriously, we get it, you understand one thing really well and didn’t grasp other thing so good so you need to act superior to soothe your insecurities.
@@Gaillavie He didnt make it easier to understand. These are the same things that you are taught in school but with pizza instead of circles. Maybe it is more interesting than school but it is not easier to understand
@The_Commandblock We would need to test it in a class. I think an example grounded in reality is easier to understand and you get a pizza slice at the end of the lesson
Wow! Now I understand why pi is so important! This is old me: I just thought pi was a random discovery and they kept it for circles... And, there is no way to accurately measure a circle's circumference and area with pi... After watching your short: Pi is very important and the only way to accurately measure circle's area and circumference Thanks for this vital information
Yep. The Egyptians knew this way, way back. They may have learned it from someone else, though. But they did use Pythagorean's theorem quite extensively. (It just wasn't called that at that time.)
I understood it now, but he explains it badly (needs to much thinning). First he explains the circumference is Pi times diameter. We need half the circumference so its half of the diameter which is the radius r. So its pi times r to get half of the circumference or pi times (diameter/2) because again we need only half of it.
Easier to just see 1/2 x (2*pi*r) 2 gets cancelled out (is 1) and you are left with pi * r. You’re right though. He (or his editor) just assumes this you would know this or pick it up. One extra pretty graphic would make it more clear.
RUclips says you have 4 other comments but I cant see them. Anywho, I had the same question. Answer = Circumference (NOT AREA) is found with 2pieR (i guess androids lack the pie symbol?) So if C = 2PieR And Area = LxW And L = 1/2 C (based on his video above) Then L = 1/2C = 2PieR ---> C = PieR L = pieR
@@mkt6890that's what my Italian bro said, bro was so captivated he didn't see the heresy, his mind is pure, immaculate. Ngl it was the first thing I saw, but I'm just triggered because I despise the taste of pineapple.
Absolutely beautiful explanation that I wish would have been taught to me in school. I have always struggled with formulas because there was never an explanation taught in school. For what ever reason, my mind struggles without an explanation and there is no joy in math for me in just reaching a solution. Thank you!
@ I didnt mean to imply you wouldnt, but compared to school food, a Pizza looks like a holiday. You can hear the dopamine reserves cracking ready to go for when the kids finally get a slice of the pizza. By the time D lunch hits, kids are feral.
I always understood pi as a constant, that is the circumference (perimeter) of the circle divided by its diameter. It’s a constant for whatever circle you draw in the world. Thanks for giving me a fresh perspective.
wow. I'm 47 and I understand this concept today for the very first time... for real like actually truly UNDERSTAND lol... wow! GREAT teachers MAKE ALLLL the difference... I'll never stop saying this!!!
One day to “pick” seats in geometry class we were asked math questions. The first being, “what is the ratio of the circumference to the radius?” I was able to answer it despite our lessons on circles being in the future by trying to understand what 2pi*r really meant. Then a few years later in an algebra class at a different school we had a teacher use a meter stick and whiteboard drawing of a rough circle to explain where pi came from. What was the point of me saying this? I don’t know, but I thought my experiences learning this fact in school were fun and wanted to share.
What a beautiful video linked below. I can't believe it only takes 50 terms in the infinite series to beat 2^62 sides of a polygon that took a guy 25-ish years to calculate pi to a very high degree of accuracy. Thankyou sir Isaac Newton 🙏
I struggled so much in high level math classes because I didn't understand pi, if anybody had explained this to me I would have passed all of them. This is so helpful thank you I finally understand
I had a bit of a confusion in one stage but I think it’s clear now and I want to explain it to others. Since the circumference of a circle is pi * diameter, if you want to take the half of that then what is half of the diameter? The radius, so the way that you get the length of the rectangular pizza shape he made is by using pi * diameter * 1/2 = pi * radius because radius is half of the diameter.
First of all, big thanks to veritasuim for this explanation... I'm a bit emotional about this because, when i learn like this it seems my eyes has been open to deep into a concept, which makes me deeply understand the concept more.
I saw this picture on Instagram a while back, it was like a lightbulb went off. Like I always knew how to use pi in calculations and whatnot, but I never truly understood it. Not until I saw this picture a year ago. This is what taught me pi
the area of a whole pizza is πr^2, but the area of a single slice is (1/2)θr^2 (if θ is in radians) this is because when you think of it, the first formula IS the second. There are 2π radiuses to go around the whole circle, and the change in angle that the radius needs to rotate is 2π radians so the area of an entire circle using the second formula is 0.5 * 2π * r^2, since θ in this case is 2π, which cancels out into π * r^2 visually this is just grabbing that radius line and rotating it like a clock hand, filling in the area beneath it as it rotates. Once it makes a full revolution of 2π radians, it’s the complete area. But if it only goes at a fraction of that angle, it only gets the radius of that slice
In my head, I think of it by taking the circumference and then swinging the radius around 360⁰, touching every point on the circumference. Thus multiply the radius by circumference.
This doesn't make sense. The circumference is 2πr. If you multiply the radius by the circumference, you get π x 2πr = 2πr^2. This is not the area of a circle.
@@Demonfireangelcan you help me? I was wondering why the length is pi r. I don’t understand why you can multiple the circumference with the radius to get half of the circumference (which is the length). Oh ok wait I was misunderstanding/forgetting what pi is, it’s not circumference but the ratio of the circumference compared to the diameter?
@@Goldenretriever-k8m πd or 2πr is circumference (since diameter divided by 2 is radius), so half of the circumference (which is half the crust) is the length of the rectangle = πr
Pick a dimension and stick with it. If you use diameter to describe the circle constant, then the formula is: π(D/2)^2, when using radius it is: (𝜏/2)r^2. It is fundamental errors like this that make math more difficult to understand. To be honest, I'm surprised you got this one wrong, because you are usually right on the money.
The reason this one doesn't work so well is because, unlike with a rectangle where sweeping one edge across by the length gives you the area, revolving the radius around the center "uses" the outer half of the radius much more than the inner half, by a factor of three, in fact. Rearranging the slices into a rectangle balances both halves of the radius so they equally contribute to the area.
Love this! Adding a quick sentence reminding the audience why half of the circumference is ㅠr would be very helpful for those that are not very mathematically inclined. (E.g., just adding a line that says, "Since the formula for the full circumference is 2ㅠr...)
i failed all my units on this. you explained something i struggled with throughout all middle and highschool in less than a minute without me feeling dread.
The volume of a pizza with radius z and height a is pi•z•z•a
🤯
Mind _blown_!
You’re on another plane of existence, my friend.
Sorry Italy, this is my new etymology headcannon!
New invention
In school for 2 decades and this is the best explanation for pi I've ever seen
Yup, that was a nice visual explanation. Thing is he doesnt explain pi, he explains the formulas for circumference and area of a circle.
To me explaining Pi would be explaining how you can find out/calculate the number 😅 And im not talking about measuring.
I think you should probably change wherever you study....
@@manuelvo1798when you discover how to find pi, you learn about the number of sides a circle has. I'll leave that for a problem for people to solve and find out themselves
Came to say this
You've never seen khan academy then.
Visualization of math is so, so important. Love this. What an impressive explanation.
Myeah, visualization is good. But this won't work on me if the teacher uses a simple circle. In this video, it helps that the visual aid is actually pizza. 😂
But i'm hungry now.
All the missed opportunities on pizza day by our math teachers.
And many times it's also expensive. I'd love to do stuff like this because I know my students would enjoy the experience but they would cost too much in my country. We don't get paid enough. 6 pizzas is 10% of my salary,
@AvalonWizard hardly any teachers would order six pizzas for a class but they'd definitely cut it into those small slices you saw in this video 🤣
I LOVE videos that talk about the general ideas behind derivations.... They are awesome!
I can’t believe how they mess up my bio pizza
This is probably the simplest, most straight forward explanation i have ever seen for. Thank you, Well done.
he should've used a pie instead of pizza lol
@@emperorborgpalpatinebut that is more messy
@@Zekual
i like chaotic messy
This is how Archimedes did it by dividing a circle into a bunch of slices, and he estimated pi to be 22/7
You can find this exact explanation in a high school algebra book.
The real question is, how do you get that Pi is 3.14159.... etc.
In my 52 years on this planet this has got to be the BEST EXAMPLE of how one should teach pi in the classroom! Thank you for teaching me something new!👍
Still begs the question why the circumference of a circle is 2*pi*r. But a good explanation of why the area of a circle is pi*r^2, assuming the circumference is 2*pi*r.
If the logic of the first part of the vid is reversed, it explains why circumference is 2 π r.
Because 2r= Diameter of the pizza.
Or πd
So the circumference, as shown on the video in pie crust, is 3.14 pizza lengths(diameters).
In other words, the 2 in “2 π r” is converting the radius to diameter.
Not only a great math lesson, but a PIZZA PARTY! [or do todays kids not go wild over those like we did in the 90s]
@@RedBar3Dthe circumference of a circle is 2•pi•r... or maybe easier to visualize, 2•r•pi --> 2r•pi --> d•pi, because pi is derived from the relationship between the circumference and the diameter. Pi=circumference divided by diameter. In other words: circumference/diameter=3.14, since pi will always be bound to the ratio between circumference and diameter (3.14:1), you're essentially just doing algebra with the formula.
@@victorvolobuev507 pi is derived from dividing the circumference by the diameter (or 2•radius, if you prefer). 3.14 is simply the ratio between circumference and diameter. So, yes, whatever the diameter, the circumference will always be 3.14 times that number.
When you're looking to write a bunch of pizza off as a business expense.
Yeah, he only needed one pizza and form 3 lines of crust. :)
I suppose he had some friends over.
Burp
@@Yelonek1986 Gotta feed the crew.
You can just do that by paying for a crew pizza lunch
I'm so hungry for pizza right now...
Im ever appreciative to you for this fantastic visually based explanation! My kids will be 2 decades ahead, TRULY grasping this concept, THIS in-depth!😊
This is such a mindblowing visual for me, like we really never actually learned why these formulas were what they were. Thank you so much!
I was thinking the same thing. Math always made more sense to me when I understood why these relationships between the members existed. No one ever explained to me the formula for the area of a circle.
sorry your geometry teacher sucked ;/
@@rahee9482 I feel like, presuming that this was here in the US during the last 20ish to 40ish years, it's less that the individual teacher sucked than that the mandated teaching paradigm sucks. The administrative expectation for teachers has been more and more focused toward students knowing the thing and then if there's some extra time maybe you can teach toward understanding the thing.
I would guess: Most text books did, most people didnt bother to open those though.
@@chiblast100x
This is taught in elementary school, Most, or almost schools have one teacher teaching math, science, history, geography, English, writing, and whatever else. It wasn't until I got to high school I had a dedicated math teacher.
This was literally the simplest, most through, and clearest example of explaining Pi that I have ever seen. I love it!
It's easier to see πr² after your pies have been squared.
exactly❤❤❤
Jesus loves you!❤✝️Repent and God bless
Instructions unclear, I ate all the Pizza
Yes, that's what you're supposed to do.
Pizza unclear i ate the Pie
Mmmmm yummy 😋
Ralph Wiggum. I suppose...
😂😂
This stuff really helps us to understand math. It's the key to understanding and applying it.
Seriously, Im 34 and I just memorized the formulas as a kid but this has for the first time in my life, actually made me understand the formulas!
The problem with rote memorization. It's why people forget what they learn all the time and don't understand the concepts or fundamentals to build upon.
Check out how Archimedes or Pythagoras reasoned out some geometrical formulas if this kind of stuff interests you.
It’s a precalc or calc 1 topic.
Learning by rote is not learning. Anything that is predicated on memorization, rarely means understanding. Understanding is gained from knowledge pursued out of curiousity, and curious minds ask questions - if those questions are stifled, unencouraged or plain forbidden, then true learning thru understanding, esp in young minds, is literally impossible - as well as being a heartbreaking waste of potential.
@@Un1234l Thank you for this!! I will look further into this :)
@@SharonCorbett Absolutely agreed. For some reason, I find it important to navigate the "psyops of the generations"...And essentially what I mean is when ACTUAL learning started to be destroyed. It seems the 60s/70s were a prominent time for memorization and not understanding. Mind you there was some actual learning mixed in there, but that was the beginning of a mass psyop of taking away skills and abilities from the population. Interesting stuff to examine.
My math teacher did something similar to this when I was in 6th grade. He started by challenging us how to find the area of a circle, and then spent the entire hour of class walking us through each of these concepts visually, step by step.
Finally, when we got to finding out what Pi is, and how to find it, everything suddenly clicked into place. We solved his starting challenge easily, and then a few more until the period ended. It was one of the most satisfying math experiences I ever had as a student.
Thought he gave pizza 🍕 at the end🤨
You had a good teacher 👍
Love it! Start with the challenge, and then introduce the tools used to solve that challenge. I also really enjoy the intuitive explanation, although on occasion intuition/handwavy explanations has led me to incorrect mathematical derivations later in college days.
Was pizza involved? 🤤🤤
THIS is teaching!
Instead of just memorizing the formula, I now understand it. Thank you man.
for many math is reduced to rote learning
0.0
Bro it’s not hard to memorize this formula for gods sale
@Trafalger_Law memorization is anathema to math understanding. Better to know how to derive it.
@Trafalger_Law memorizing isn't the same as understanding.
Gaw-DAMNNNN! How much clearer this demo is than any other explanation I ever heard🫢‼️👍🏻
A big opportunity was missed here: Explaining Pi with Pie
fr
On March 14th.
Well he did use a pie of pizza so it sorta kinda checks out
Hi
Isn't pizza considered a pie? A "pizza pie" I thought was a colloquial definition, even if not super common to use.
That's the best explanation and demonstration I have ever seen.
I instantly understand it now without even wanting to.
If I had this 30 years ago, that would have been great.
Right? Schools didn't know how to teach us, and they called us stupid.
@Ong.s_Jukebox This was the standard way to teach it. I'm very shocked that I'm one of the few people to have learned it this way.
π r _not_ square!
π r _ROUND!_
*_CORNBREAD_* r square!
@@Ong.s_Jukebox they aren't trying to make us smart though. Ideally they only want us smart enough to do our job, but not smart enough to question them, or see through the lies
@@matttheradartechnician4308you must have gone to a great school. I took algebra 45 years ago and didn’t learn it this way. Makes MUCH more sense now.
This is how math could've been easy for me I understood how to do the work, but never why. Not for easy math, but as it got more complicated, and I couldn't grasp the "why," these types of explanations would've been greatly appreciated.
Thank you. Do more of these, please
ong, i’ve forever been told “this is done like this”, “that is done like that”, but i’ve never been told why are things like they are; the times that i’ve actually been told, i actually get the math
Math was the easiest subject for me by far. But I still think it would have been helpful if the teacher brought a few pizzas for the class
Same!!
I was really good at geometry, was easy to me because it was about a concrete subject, but terrible at algebra in school. Those are different classes everyone took.
@@_3.14I guess that’s why I hate math
Finally somebody actually explained it all. This blew my mind, thank you for this
Not only did he explain Pi with a simple pizza demonstration, but also the basic idea of integration, really nice
I missed the explanation for pi. Why does it exist? What is it for? Now that i know that pi*r² is just a geometric redefinition of what a circle is to a square... why do we need pi at all?
@@nicewhenearnedrudemostlyel489 Pi exists because it’s the ratio of a circle’s circumference to its diameter. It’s the same for every circle, no matter the size, which is why it’s so important. Pi lets us calculate anything related to circles-like their circumference, area, or even the volume of cylinders (pi*r^2*L). A cylinder, for instance, is basically just a bunch of circles stacked along a line in 3D space. Similar principles apply to any object that includes circles and circle-like shapes.
Circles show up everywhere, and so does π. Planets orbiting stars, electrons moving around atoms, or even galaxies-most of those paths are circular or elliptical. On a more practical level, you see it in wheels and gears. Any machine, car, or bike with something spinning in it depends on π to work properly. Without it, we couldn’t figure out things like rotations, distances, or speeds when it comes to the rotation itself (sure you can calculate the average speed of a car, but if you want to go deeper than that, you have to work with geometry).
Even something as simple as a lever involves circular motion. When you push or pull a lever, it moves in an arc around its axis-basically part of a circle. This is how things like torque and mechanical advantage are calculated, and π makes that possible.
Pi doesn’t stop at geometry, though. It’s everywhere in math, physics, and even things like wave equations or statistics. It’s one of those numbers that connects so many different things in ways you wouldn’t expect.
At the end of the day, circles are one of the most natural and universal shapes in the world. They’re everywhere-whether it’s in nature, machines, or the universe-and π is the tool that helps us make sense of all of it.
@@nicewhenearnedrudemostlyel489 pi exists like many other wonders of nature. It is a constant that is found in many places. As shown in the video, the circumference of a circle is always PI times its diameter, which is amazing. We named it PI because it is an important transcendental number and needed a separate symbol. I hope that helps
@@nicewhenearnedrudemostlyel489 Not exactly sure what you mean, but pi is simply a number, a ratio. We found that all circles have a circumference that is 3.14 times its diameter. We end up using this ratio a lot in math and science and noticed it had infinite digits after the decimal, so we gave it a special name "pi" (since we can't write the whole thing).
@@nicewhenearnedrudemostlyel489 You're asking the "wrong" questions. There is no "reason" why pi exists, it just does. There is no "what is it for", it just is. As for why we "need" pi, it's exactly because of what you said: Pi arises in the calculation for the area of a circle. Archimedes did this in 250 BC using polygons. He got to a 96-sided polygon, but that was only good enough to get him to pi = 3.14. And that's just not good enough.
Also, it's actually not that circles come from rectangles, but the other way around: You can use circles to construct right angles, find the midpoint of a line segments, and double the length of a line segment. This lets you construct squares from any line segment.
This is the simplest and most concise explanation of PI that I have ever seen, and I'm not quite as old as dirt! Nicely done!🤯
I absolutely love the way this guy explains the most simplest things but he can also speak like an absolute genius on topics that are mind-blowing.
It was probably for a class pizza party, hence how small the slices had to be.
How did u claim the name skibbity John x 16 years ago
"If you can't explain a difficult topic in simple words, you don't understand it properly." Albert Einstein (paraphrased!).
Shows true understanding, and thus mastery, of the fundamentals and core concepts and principles.
@Un1234l "Understanding is that which has no depth "
Highly skilled teachers are under appreciated.
A grand explanation.
I have never seen anyone explaining it better, I remember at school all they would say was “this is how it is memorise it”
Or, perhaps I should add, as an effective teacher for people who just don't have the moderate gift they do. That requires a certain brilliance as well.
You went to either a very bad school or you're just not very bright
you elementary school books didn't have this visual?
Ur teaching is so good that you managed to distract Italians from the fact that two of these were pineapple pizzas
Om nom nom, so good.
You mean they were, πinapple pizzas
πneapple πzza :D
Pineapple pizza is justice.
I put the tears of crying italians on my pineapple pizzas
This is actually a super legit demonstration for rules of pi.
Pie*
Putting pineapple skin on your pizza
@@davidanger34
@@davidanger34 Pi*
Yup
Jesus loves you!❤✝️Repent and God bless
I've never really thought too much about it, but your explanation makes it so easy ... explaining Pi With Pizza pie! Thanks again @veritasium =)
Pi is like me when it's comes to eating pizza because we both don't know when to stop.
The difference is, unlike Pi, that's very rational.
Hi @@veritasium sir
@@veritasium😂😂😂
Yooo Clashopedia
@@ClashoPediaCOC what a waste to only eat 3.14... Pizzas, what about the rest? Doggybag? :D
This made me understand this concept in a whole new way, you're my favorite RUclips creator for that reason
For the first time now I understand the PI and circle concepts, I used to just blindly follow the rules lol
This information is useless to you
@@jasonmaguire7552 and yet this so called "useless" information makes people understand the "useful" information so it's not useless
@@jasonmaguire7552even if it were who cares? Only thing useless here was your comment
@@jasonmaguire7552what an absent minded take
So Pi is the ratio of the circuimferance and the diameter?
Seriously, this is the best example of Pi I have seen. A very tasty explanation.
Kids need Teachers like this guy. You Sir do an excellent job explaining mathematics.
I can’t remember how to do long division or multiplication. I remember learning in 2nd grade… Now I’m lost. Can you make more math videos please?
I’m in Calc BC right now but this is the first time I won’t mix up these formulas… ty so much!
I use a jingle "twinkle twinkle little star, circumference equals 2 pi r" lol
Think about units to not mix them up
Amazingly easy when explained in this way.
do you really mix up pi.r² and 2pi.r??? its middle school maths lil bro
@@citriz You should understand the math instead of memorising it this way. What you’re doing is very harmful
This is the best, and most understandable, explanation of pi that I've ever seen.
Well done!
What's difficult about knowing that
C = πd
Why do you need a pizza chopped up to understand this?
@@deang5622 Why do you have to ask? Oh wait, I know..so you can make yourself feel superior. Do you know which space is too small to contain the human ego?
@@deang5622seriously, we get it, you understand one thing really well and didn’t grasp other thing so good so you need to act superior to soothe your insecurities.
One of my favorite Veritasium videos
You explained it in NOT a stupid way and I love it
The idea couldn’t be more stupid 😂😅
@@AlexM-xb3czwhat I meant is he simplified it
@@Gaillavie He didnt make it easier to understand.
These are the same things that you are taught in school but with pizza instead of circles.
Maybe it is more interesting than school but it is not easier to understand
@The_CommandblockI was only taught this in special math classes😅. Before that it was just "memorize this formula:"
@The_Commandblock We would need to test it in a class. I think an example grounded in reality is easier to understand and you get a pizza slice at the end of the lesson
This is one of the best explanations I’ve seen. Makes it so simple which is great
That is literally (and I'm not saying anything that has not said already), but that is literally the best explanation of this I've ever seen.
I wish they had shown this in school. I struggle so goddamn much to remember things without understand why/how they work. Thank you so much
Wow, ive never seen it explained visually like this. Really helps grasp the concept of pi. Thanks!
Archimedes discovered pi when trying to work out the perfect ratio of cheese to crust…
😅😅❤👍
Wow! Now I understand why pi is so important!
This is old me:
I just thought pi was a random discovery and they kept it for circles... And, there is no way to accurately measure a circle's circumference and area with pi...
After watching your short:
Pi is very important and the only way to accurately measure circle's area and circumference
Thanks for this vital information
It's actually Calculus😉
Moreso trigonometry, no?
Yep. The Egyptians knew this way, way back. They may have learned it from someone else, though. But they did use Pythagorean's theorem quite extensively. (It just wasn't called that at that time.)
If they didn't discover pi, we'd never be able to share a pizza.
@@DunmoresMovieMania Actually😂
bro that felt kinda good, understanding something mathematical after so long. The pizza definitely helped
How is length of the rectangle, pi × r?
I have no clue either. Why is half the circumference pi*r?
Because the circumference is pi*d (diameter) and r is d/2. Basically pi*r = pi*d / 2
I understood it now, but he explains it badly (needs to much thinning).
First he explains the circumference is Pi times diameter.
We need half the circumference so its half of the diameter which is the radius r. So its pi times r to get half of the circumference or pi times (diameter/2) because again we need only half of it.
Easier to just see 1/2 x (2*pi*r)
2 gets cancelled out (is 1) and you are left with pi * r.
You’re right though. He (or his editor) just assumes this you would know this or pick it up. One extra pretty graphic would make it more clear.
RUclips says you have 4 other comments but I cant see them.
Anywho, I had the same question.
Answer = Circumference (NOT AREA) is found with 2pieR (i guess androids lack the pie symbol?)
So if
C = 2PieR
And
Area = LxW
And
L = 1/2 C (based on his video above)
Then
L = 1/2C = 2PieR ---> C = PieR
L = pieR
I love how the last pizza has pineapple over it
The explanation literally cleared my mind about pi and I hadn't understood it until watched this
Using an Italian pie to find Pi.
😂 I would check the toppings before making such a bold claim 0:12
Although Pi neapple on top doesn't make any sense for an Italian.😂
i hope math teachers come across this and show it to their students. this made it so much easier to understand.
bro tricked me using pizza 💀
Still counts as a pi
Teachers 👏 show 👏 this 👏 to 👏 your 👏 students 👏
and then they get a pizza party
Kudos to the chef for ensuring all those pizzas had the same radius.
I love this. I’ve always enjoyed math but felt I don’t have the knowledge “in my bones.” These explanations make it real ✌🏼
from an Italian, you managed to capture my full attention with this demonstration
He probably threw out the pizza after. What do you say now?
@@asztapaszta9not my pizza idgaf
There's pineapple on one of the pizza...
@@mkt6890that's what my Italian bro said, bro was so captivated he didn't see the heresy, his mind is pure, immaculate.
Ngl it was the first thing I saw, but I'm just triggered because I despise the taste of pineapple.
@@mkt6890not my pizza
Best job ever. I want math teachers to explain pi like this.
Nice to finally get to learn about pizza pi. In all seriousness, this was awesome!
Absolutely beautiful explanation that I wish would have been taught to me in school. I have always struggled with formulas because there was never an explanation taught in school. For what ever reason, my mind struggles without an explanation and there is no joy in math for me in just reaching a solution. Thank you!
When your teacher is trying to turn Pizza day into a Lesson Plan….
But see, I'd enjoy this lesson. I do wish they did more practical application lessons, I find those easier to understand.
@ I didnt mean to imply you wouldnt, but compared to school food, a Pizza looks like a holiday. You can hear the dopamine reserves cracking ready to go for when the kids finally get a slice of the pizza.
By the time D lunch hits, kids are feral.
Teacher: you can have one slice.
The slice:
Nahh he turn a pizza into pie. In another word you can call it pizza π.
Or if you an American you can call it deep dish pizza.
I can’t believe I finally understood this from a one minute video, after school failed to teach me over 10 years lol
I always understood pi as a constant, that is the circumference (perimeter) of the circle divided by its diameter. It’s a constant for whatever circle you draw in the world. Thanks for giving me a fresh perspective.
This is fantastic thank you! Using this for our homeschooling
Man you missed the opportunity to cut the crust off of pies lol
It’s a pizza pie…
bro i am begging you to google “pizza pie”
@@Milky_mansI’m not American so I wouldn’t know, but I always thought a pizza pie was a deep dish pizza?
@@itsnotme6869every pizza is called a pie
On everyone's behalf, thank you.
wow. I'm 47 and I understand this concept today for the very first time... for real like actually truly UNDERSTAND lol... wow! GREAT teachers MAKE ALLLL the difference... I'll never stop saying this!!!
Finally, after all these years, an actual explanation of pi.
This is the best explanation ever. Should be taught at schools
They do teach basic geometry in schools.
It was.
Dude … it is!!
It was in school.. Of course not with a pizza... Out of budget restrictions. Guess you missed the lecture...
@@edheldudewhich school teaches it using Pizza? it'll instantly be the most popular school in America
You just explained something no math teacher was bothered to explain in school, i always wondered what this "magic " number was.... ffs.
Yap yap, many times teacher just shoved them out to our brain without explain anything
don't just blame the teachers , if you ever wondered what is pi you will realize its the ratio of circumference of a circle to its diameter
Always blaming the teachers. Maybe show some interest
One day to “pick” seats in geometry class we were asked math questions. The first being, “what is the ratio of the circumference to the radius?” I was able to answer it despite our lessons on circles being in the future by trying to understand what 2pi*r really meant. Then a few years later in an algebra class at a different school we had a teacher use a meter stick and whiteboard drawing of a rough circle to explain where pi came from.
What was the point of me saying this? I don’t know, but I thought my experiences learning this fact in school were fun and wanted to share.
It’s pretty fuckin easy to see that a diameter is abt 1/3 the length around a circle. Js
This actually makes sense. You taught me this in a 1 minute video and I understand it better than the same thing in years of school
This is such a beautiful explanation. Saving this for my kids.
What a beautiful video linked below. I can't believe it only takes 50 terms in the infinite series to beat 2^62 sides of a polygon that took a guy 25-ish years to calculate pi to a very high degree of accuracy.
Thankyou sir Isaac Newton 🙏
*THATS ENOUGH SLICES*
Knew this was here
Was looking for this comment 👌🏻
“We’ve got cold pizza, cold hamburgers, cold hotdogs, and cold steak”
What do you got that’s warm?
“ice cream”
Warm ice cream sounds delicious
@ mmmm mayhaps
That is the best explanation of pi, I have ever heard. My math teachers in high school could never explain it like that. No wonder I failed in math.
Wonderful tutorial. Our youth wants more.🇺🇸
I struggled so much in high level math classes because I didn't understand pi, if anybody had explained this to me I would have passed all of them. This is so helpful thank you I finally understand
Somehow I really doubt this
I had a bit of a confusion in one stage but I think it’s clear now and I want to explain it to others. Since the circumference of a circle is pi * diameter, if you want to take the half of that then what is half of the diameter? The radius, so the way that you get the length of the rectangular pizza shape he made is by using pi * diameter * 1/2 = pi * radius because radius is half of the diameter.
Thank you, I also got confused here lol
THANK YOU! Struggled with that and hoped someone would explain it in the notes.
Thank you 🙏
thank you!!!!
Best explanation for Pi I've ever seen in my life
this 60 sec is far more better for kids than 100 homework.
Okay hotshot, now explain Pi with zza?
Wow! This is a brilliant demonstration of why pi is pi !
You don’t know how much I wish my geometry teacher could have explained it this way
Well, they found a good excuse for a pizza party
9999 Missed Calls from the Italians
These are looking more like stix than pi, professor. Thanks for the presentation! I'm a visual learner so that was well done.
First of all, big thanks to veritasuim for this explanation...
I'm a bit emotional about this because, when i learn like this it seems my eyes has been open to deep into a concept, which makes me deeply understand the concept more.
It is a wonderful feeling
Apply your Deep Learning to basic English & grammar.
WHY did they NEVER teach us PI? This is MAGNIFICENT! I’m 57, carpenter all my life, and had no explanation ever given to me as to WHY is PI….PI??
please put these kind of videos often, its awesome
this... makes me happy. this is the explanation i always craved but never got a decent answer for
Italians invented pizza so that Veritasium could teach with it, how sweet
Nah, this one looked salty
I saw this picture on Instagram a while back, it was like a lightbulb went off. Like I always knew how to use pi in calculations and whatnot, but I never truly understood it. Not until I saw this picture a year ago. This is what taught me pi
the area of a whole pizza is πr^2, but the area of a single slice is (1/2)θr^2 (if θ is in radians)
this is because when you think of it, the first formula IS the second. There are 2π radiuses to go around the whole circle, and the change in angle that the radius needs to rotate is 2π radians
so the area of an entire circle using the second formula is 0.5 * 2π * r^2, since θ in this case is 2π, which cancels out into π * r^2
visually this is just grabbing that radius line and rotating it like a clock hand, filling in the area beneath it as it rotates. Once it makes a full revolution of 2π radians, it’s the complete area. But if it only goes at a fraction of that angle, it only gets the radius of that slice
You know, I’ve never had it visualized like this before. Thank you
In my head, I think of it by taking the circumference and then swinging the radius around 360⁰, touching every point on the circumference. Thus multiply the radius by circumference.
This doesn't make sense. The circumference is 2πr. If you multiply the radius by the circumference, you get π x 2πr = 2πr^2. This is not the area of a circle.
@@Demonfireangelcan you help me? I was wondering why the length is pi r. I don’t understand why you can multiple the circumference with the radius to get half of the circumference (which is the length).
Oh ok wait I was misunderstanding/forgetting what pi is, it’s not circumference but the ratio of the circumference compared to the diameter?
@@Goldenretriever-k8m πd or 2πr is circumference (since diameter divided by 2 is radius), so half of the circumference (which is half the crust) is the length of the rectangle = πr
Pick a dimension and stick with it. If you use diameter to describe the circle constant, then the formula is: π(D/2)^2, when using radius it is: (𝜏/2)r^2. It is fundamental errors like this that make math more difficult to understand. To be honest, I'm surprised you got this one wrong, because you are usually right on the money.
The reason this one doesn't work so well is because, unlike with a rectangle where sweeping one edge across by the length gives you the area, revolving the radius around the center "uses" the outer half of the radius much more than the inner half, by a factor of three, in fact. Rearranging the slices into a rectangle balances both halves of the radius so they equally contribute to the area.
The Pi-neapple on pizza. No, please no. 😂
*Pi nipple in russian*
hey teachers of the world! this is how to get a student’s attention: food, more specifically pizza
This is the best one I've seen yet
I now wanna bake a rectangular pizza and try to arrange it in a circle
Love this!
Adding a quick sentence reminding the audience why half of the circumference is ㅠr would be very helpful for those that are not very mathematically inclined. (E.g., just adding a line that says, "Since the formula for the full circumference is 2ㅠr...)
Unironically this needs to be shown in schools
Oh my now I actually understand, this is the best thank you 🙏
i failed all my units on this. you explained something i struggled with throughout all middle and highschool in less than a minute without me feeling dread.
Alternative title: Man talks about pie and pizza and throws in a bunch of math for some reason