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,
@@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.
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.
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.
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 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.
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
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.
@@ChillDude68 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
Im a licensed Architect and use area of a circle almost every day and helped my son memorize pie to the 200th digit, but that was tbe best visualization and explanation of the formula. Nice Job.
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.)
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.
@@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.
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
No one ever explained to me why we use those numbers and equations. I just used the numbers and equations and the math mathed. You explained this so perfectly and so quickly, its incredible! THIS IS WHY I TRUST MATH AND SCIENCE
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!!!
@ 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.
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 am an eye learner. Which means i observe something being done, i learn it, i apply it the knowledge. I cannot believe i understood everything first time while i couldn't do that in years of school. Learning must be fun, not blank.
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 🙏
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.
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
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.
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
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
This is more than a brilliant illustration of π in maths … it is a brilliant illustration of a 'gift' for teaching! Pedagogy (the 'art' of teaching) can prove difficult to find … if found, it must never go unappreciated!
And if not for you, then for your children: Like, Subscribe and turn on Notifications! Education is not a 'given' for all … if 'given' at all; it has never been allotted with equity!
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.
One of my academic English students wrote an essay explaining all the different ways to calculate the area of a circle including these two methods! So happy to see them in practice like this!
I use 3.1416 almost everyday as a welder that deals with round stuff. Banding strips makes me faster than most to dial in stuff off the roll form machine for a tight fit. This is a very good visual aid of what's going on.
![Felix "Unfair" | [Stray Kids : SKZ-PLAYER]](http://i.ytimg.com/vi/Oswujxm2Ag0/mqdefault.jpg)
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 🤣
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.
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.
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...
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...
😂😂
Instead of just memorizing the formula, I now understand it. Thank you man.
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.
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.
I can’t believe I finally understood this from a one minute video, after school failed to teach me over 10 years lol
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.
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 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
Kudos to the chef for ensuring all those pizzas had the same radius.
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.
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?
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 "
I completed a degree in mathematics, but such a simple explanation never crossed my mind. Wonderful!
This is actually a super legit demonstration for rules of pi.
Pie*
Putting pineapple skin on your pizza
@@davidanger34
@@davidanger34 Pi*
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!🤯
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?
This is the single simplest and best explanation of Pi I’ve ever seen!
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.
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
@@ChillDude68 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
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
I love his complex math terms explained in Laymen’s terms. Absolutely lived his quantum computing video.❤
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 made me understand this concept in a whole new way, you're my favorite RUclips creator for that reason
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.
Im a licensed Architect and use area of a circle almost every day and helped my son memorize pie to the 200th digit, but that was tbe best visualization and explanation of the formula. Nice Job.
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
Same
@@veritasium😂😂😂
Yooo Clashopedia
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😂
This is one of the best explanations I’ve seen. Makes it so simple which is great
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.
This was exactly how I explained the area of a circle to a neighbor years ago, except with paper rather than pizza.
Mmm, paper 🤤
It's hard to find paper with crust nowadays
It wouldn't be a pie then
got the new paper edition: cworcleee ^^
@@WTFBOOMDOOM😂😂
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…
😅😅❤👍
Funny how complicated things can be explained so simply. However no one ever tries that teaching method. Nice work!
bro tricked me using pizza 💀
Still counts as a pi
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.😂
This has to be one of the quickest and best explanations I’ve seen for pi
Teachers 👏 show 👏 this 👏 to 👏 your 👏 students 👏
and then they get a pizza party
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
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
No one ever explained to me why we use those numbers and equations. I just used the numbers and equations and the math mathed. You explained this so perfectly and so quickly, its incredible! THIS IS WHY I TRUST MATH AND SCIENCE
Best job ever. I want math teachers to explain pi like this.
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!!!
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 ather word you can call it pizza π.
Or if you an American you can call it deep dish pizza.
This is the first time I've actually understood the concept of pi thank you
This is fantastic thank you! Using this for our homeschooling
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
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 am an eye learner. Which means i observe something being done, i learn it, i apply it the knowledge. I cannot believe i understood everything first time while i couldn't do that in years of school. Learning must be fun, not blank.
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.
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 🙏
Dude, I'm 45 and this is the best explanation for Pi I've ever heard. I'm in college.
You must be American.
This was thought for me in like 8th grade
@@gaurav.dhanrajawell apparently grammar wasn't because that's spelled taught
thats rough buddy @@BakiBazuka
Must be American surely 😂
Exceptional way to explain basic concepts, this guy is amazing!! Parents with kids struggling with math, physics, watch out 🎓
*THATS ENOUGH SLICES*
Knew this was here
Was looking for this comment 👌🏻
Nope
He's cutting the slices for a school's pizza party
That's definitely not enough
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
Wonderful tutorial. Our youth wants more.🇺🇸
The best way to learn math, is by being able visualising it. This is a great vid
“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
Wow! This is a brilliant demonstration of why pi is pi !
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
I have just learnt more in this video, than i have in the last 30 years!!
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
Well, they found a good excuse for a pizza party
this 60 sec is far more better for kids than 100 homework.
this is what you call an educational video! never really understood why formulas are the way they are
I went through many years of school, spent tens of thousands of dollars on tuition, and never saw as good an explanation as this.
Thank you.
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.
Mind = blown. It's simple, but it takes a genius to explain it in a way that makes sense. Nicely done.
Okay hotshot, now explain Pi with zza?
Italians invented pizza so that Veritasium could teach with it, how sweet
Nah, this one looked salty
please put these kind of videos often, its awesome
I'm on winter break and get this in my recommend? I've had enough of circles pi at school already omg
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??
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
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
This is more than a brilliant illustration of π in maths … it is a brilliant illustration of a 'gift' for teaching!
Pedagogy (the 'art' of teaching) can prove difficult to find … if found, it must never go unappreciated!
And if not for you, then for your children:
Like, Subscribe and turn on Notifications!
Education is not a 'given' for all … if 'given'
at all; it has never been allotted with equity!
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
One of my academic English students wrote an essay explaining all the different ways to calculate the area of a circle including these two methods! So happy to see them in practice like this!
I just finished my Trigonometry class and I really needed this video
Omg this is the absolute best explanation. Your awesome
Thank you so much for explaining it visually ❤
I love that Pi can so beautifully be explained with pie.
This is a great way to explain it. They should play this in schools.
I am 37 yo and for the first time in my life someone explain it clearly enough to really get the idea.
I use 3.1416 almost everyday as a welder that deals with round stuff.
Banding strips makes me faster than most to dial in stuff off the roll form machine for a tight fit.
This is a very good visual aid of what's going on.
Most comprehensible breakdown of лr² i've ever seen.
...but maybe the only one i've ever seen. 😄
This is perfect , I would’ve loved to have this growing up
Never have i heard such a good explanation of pi
Thank you for this. Saving this to help me help my tiny humans later.
I finally understand. That was amazing! Thank you!
This is the best explanation I've seen. Wish I saw this earlier