The hardest thing Andy did in this video wasnt solving the problem it was making it so understandable that anybody that knows basic maths would understand
the hardest thing @simpeater4404 did in this comment section wasn't commenting on Andy solving the problem not being the hardest thing but making it understandable that anybody that knows basic maths would understand but making anybody realize the hardest thing Andy did in this video wasnt solving the problem it was making it so understandable that anybody that knows basic maths would understand
This video reminded me of when and why I loved math as a kid. It’s so much fun going through the individual steps and sorting things out, and watching someone go through that challenge put a smile on my face. Subscribed.
Your math explanations are far more interesting and less confusing than most of the math channels on RUclips. I appreciate how clear you are, and how little time you waste. "If you want to solve it yourself pause here, I'm going to solve it in 3, 2, 1" and then you just dive in. How exciting.
Andy maths is so underrated. He deserves more recognition, and you can tell he's genuinely passionate about math and teaching given him continuing to post videos despite his lack of popularity. How exciting.
I mean, he's at nearly 100k subscribers on a math channel, and it quite literally just does low edited math problems without any fluff or over the top production quality. I'd say that's a very successful channel doing something he enjoys.
@@TraxisOnTheLines he still likely gets minimal cpm and has just been recently gained popularity. you also have to remember he's been posting for over 8 years and programmed a website to further gives guides. ya gotta respect it
1:17 Isn't the length of the isosceles triangle's diagonal wrong? According to the process, it is 2r√2, but somehow it's written 2√2r in the rest of the video. Or am I getting something wrong instead?
I don't know why but visually speaking I have a hard time seeing the pink area as 20 times bigger than the green one. Mist be a bit of an optical illusion.
I wonder if it's possible to calculate the pink vs green area contained in the square made by drawing straight lines connecting the corners of the green area (kind of like un-pinching it). That probably has an effect on the perception.
It is much easier if you just replace r with a number. 3 for example. Then its just 2 root x 6 +3+3 and then divide by 2, square, and then X 3,141592654 =164,79 And 6x6=36 - 3x3x3,141592654 = 7,725666. 164,79-7,72 and then /7,72 =20,3308. Never use letters if you can use numbers in math.
Technically two purple thingies don't make an ellipse but an oval because it's made out of circle arcs each with 1 focus rather than a single curve with 2 foci
I was quite pleased I understood the problem and came up with the solution without doing the math JUST from the thumbnail.. EXCEPT.. I stopped at the green area.. I didn't realise it was asking for pink over green.. DAMN.. Oh well, atleast I got the first part..
It doesn't matter how big the diagram is, the ratio stays the same. If I take my sandwich and use a magical expansion ray on it, the ratio of bread to slice of beef ought to remain the same, right? You wouldn't expect the bread to increase and not the beef, or vice versa. If that happened the sandwich wouldn't look like an expanded version of how it started. But coming back to mathematical reality (such as it is), the ratio staying the same is proven by there being an r² in both the numerator and denominator which cancel out (see 2:17). If the ratio was dependent on r somehow, something would prevent that from being possible and there would be an r left over somewhere.
Okay, Ixmma solve before watching, I think that the 4 circles can be used to make a central square, since all the circles are equally squeezed in there, just get the area of that square(framed as a diamond), remove the area of a single circle from it ane you get green, then you find the wider area, which I just realised I don't know how. Wait.
Okay yeah, use that square with pythagoras to find the length of part of the diameter, div that by 2 and then ad one of the rs up and theres your radius, the rest is easy
My biggest problem is you had to make use of measurement of the graphic in the very first step to get anywhere. There's no point in labeling "r" if I'm being asked to measure to figure out the problem anyways.
You're clearly not. Someone who has a legitimate intellectual position (in a discipline such as linguistics, mathematics, physics, etc.) would not assert they have that position. Not normally. If I end a mathematical paper with "P.S. I'm a mathematician.", then I would lose a lot of credibility. Makes you think, huh?
@@Gordy-io8sb You're right, but why are you wasting your time replying to a comment clearly so childish and poorly thought-out? My comment was stupid: just scoff at it and move on. I've read and written enough papers to know that the article I wrote in this video's comment section would be laughed out of any journal. I didn't even cite a single source! Preposterous! Also (and this is entirely unrelated to the substance of your argument and is 100% ad hominem), your comment's style was hilariously Redditesque. Either you're a brilliant satirist or you need to spend less time telling strangers on the internet why they're less intelligent than you. It seems like you're trying to be friendly and sincere, but on first read it comes across as cynical and mean-spirited. By all means, point out flaws in your opponent's argumentation, but don't make them feel stupid for making dumb comments on RUclips videos.
I paused the video right away and got to a certain point and spent like 10 minutes thinking surely this can be reduced, then finally gave up and watched the video for the answer. He got to exactly same point I did and then said "and that's the answer!" and now I feel empty
The hardest thing Andy did in this video wasnt solving the problem it was making it so understandable that anybody that knows basic maths would understand
As a kindergartner I am offended that you call this basic maths and yet I do not know it.
@@bokiekitten4591 What an eloquent kindergartner ! You have a great future ahead of you
the hardest thing @simpeater4404 did in this comment section wasn't commenting on Andy solving the problem not being the hardest thing but making it understandable that anybody that knows basic maths would understand but making anybody realize the hardest thing Andy did in this video wasnt solving the problem it was making it so understandable that anybody that knows basic maths would understand
@@feddspbrain has become liquid help
This task was pretty straightforward, no tricks involved, just straight up calculate the areas and then the ratio.
L + ratio
@@kakyoindonut3213*a + ratio
Pembe alan = pink area
Yeşil alan = green area
Like someone already pointed, this is Turkish.
Turkish is umistakable with their weird s and the way their words are
@@hellheater2567 nahh i was talking about the letter s with the thing under it specifically💀 English is a hell lotta weirder as a language
@@tormodhag6824"ş" is just "sh"
@@tormodhag6824, yeah yeshil is more easier right?
@@tormodhag6824i think turkish is the only language that has like ı and İ
This video reminded me of when and why I loved math as a kid. It’s so much fun going through the individual steps and sorting things out, and watching someone go through that challenge put a smile on my face.
Subscribed.
I like your presentation method, narration and graphics.
Knowing Turkish exams, you have probably like 30 seconds to answer the question.
Your math explanations are far more interesting and less confusing than most of the math channels on RUclips. I appreciate how clear you are, and how little time you waste. "If you want to solve it yourself pause here, I'm going to solve it in 3, 2, 1" and then you just dive in. How exciting.
This was so much fun to work out and follow along! Thanks a beautiful year-end :)
Love your videos Andy! Keep them coming!
Andy maths is so underrated. He deserves more recognition, and you can tell he's genuinely passionate about math and teaching given him continuing to post videos despite his lack of popularity. How exciting.
I mean, he's at nearly 100k subscribers on a math channel, and it quite literally just does low edited math problems without any fluff or over the top production quality. I'd say that's a very successful channel doing something he enjoys.
@@TraxisOnTheLines he still likely gets minimal cpm and has just been recently gained popularity. you also have to remember he's been posting for over 8 years and programmed a website to further gives guides. ya gotta respect it
I also find it’s best to just eyeball and assume geometrical shapes when solving a proving planimetric problem
Wht does planemetric mean
Its pretty clear that Andy's method was what the problem intended.
Is it "assuming" when the problem tells you they're all the same size by giving you the radius?
We got an engineer on our hands
Next bro is gonna say pi is equal to 3
yooo this is the shit !!! these geometry-riddles are so much fun to watch, this is a breath of fresh air in all the trash on yt! thx man keep it up!
How exciting 🙀!
Great demonstration!
awesome riddle and a very creative solution!!!
awesome job!!
Very Exciting, glad i subscribed you for weird geometric equation but simplest solution...👍
This blew my mind lol thank you
Dang it I *knew* I was doing it the long way! Same answer but I still feel a fool for dividing it into sectors... Nice job man!
you are going great, i enjoy your videos
Great videos!
The “How Exciting” hits me everytime haha
This channel is such a gem.
You are amazing and very enjoyable to watch reason and solve 👍
Andy, is your camera mounted on the ceiling? lol
why does it look like hes a few inches off from the ceiling?
Ascending
Really love your videos. Where do you find these challenging problems?
He creates them.
search up AMC or AIME problems
Somehow, "Lets put a box around it" will never stop appearing in AndyMaths video and I think that makes his videos a little bit more intriguing 🤔.
How exciting!
Beautiful ❤
andy inspired me to train on my geometry
Really cool how this is the ratio regardless of the dimensions used because they end up cancelling
Nice solution, I really over complicated it in mind
A fun puzzle! My 9 year old son was able to solve on his own. He loves math because of your channel!
You ignited my love for maths again!
I just slow your video down “how exciting”. Enjoyed the method.
Underrated
My favorite part was when you said “now we distribute the pi.”
Mmmmm, Pi.
Glad I saw this just in case one day I get a similar question happen to me in life.
I love the fact that the question is in Turkish
If only I had you as my geometry teacher
Does anyone know what software he uses ?
1:17 Isn't the length of the isosceles triangle's diagonal wrong? According to the process, it is 2r√2, but somehow it's written 2√2r in the rest of the video. Or am I getting something wrong instead?
Those are equivalent! 2r√2 means 2 * r * √2 and by the commutative property the terms can be switched around.
@@hmnelson13i assume they thought it meant 2√[2r]
You are Amazing
This is one of those problems where I had all the correct steps I just didn’t get it right because I did all the math in my head and mixed up a value
very exciting
Turkey mentioned
how tall is your ceiling bro it looks like you're hagrid or somethin.
I don't know why but visually speaking I have a hard time seeing the pink area as 20 times bigger than the green one.
Mist be a bit of an optical illusion.
I wonder if it's possible to calculate the pink vs green area contained in the square made by drawing straight lines connecting the corners of the green area (kind of like un-pinching it). That probably has an effect on the perception.
Almost got it right. But I forgot to subtract the green area when i found the pink circle area. But i figured out how to get there. Nice!
That's exactly how I did it and the answer I got. It was such a messy answer to one of these puzzles I was convinced I must have gone wrong somewhere
What program do you use to make these solutions?
he uses his brain
what kind of program does he use for videos?
What in the world, where did you study?
Seeing how messy the answer was makes me glad I didn’t bother doing any of the final simplification lol
It is much easier if you just replace r with a number. 3 for example. Then its just 2 root x 6 +3+3 and then divide by 2, square, and then X 3,141592654 =164,79
And 6x6=36 - 3x3x3,141592654 = 7,725666. 164,79-7,72 and then /7,72 =20,3308.
Never use letters if you can use numbers in math.
How exciting
Math class suddenly became grammar class😂
The corollary is that this elliptical Yin or Yan area is (pi+1/2.pi.sqrt(2)-1)r^2.
Extremely Interesting Stuff.
Good one !
Man that escalated quickly LUL
That special S means it is Turkish question
Avg turkish geometry exam question 🥸
@@mehmetshn778 its below avg. Way too easy tbh
bro literally do math for fun whilst others do it for the grades
No fucking wonder this guy a genuis
How did you calculated the ratio at the end?
Probably used a calculator for the approximation at the end
That figure looks like a levelled-up Yin-Yang symbol.
dude just did the equivalent of an entire exam from my middle/high school... in 2 minutes 33...
i had to double check when i saw the question asked in turkish
Looks like 4 deadpan peas in a pod lol
Technically two purple thingies don't make an ellipse but an oval because it's made out of circle arcs each with 1 focus rather than a single curve with 2 foci
is it me or andy's head is about to touch the ceiling
I LOVED THIS PROBLEM !!!!!!
I was quite pleased I understood the problem and came up with the solution without doing the math JUST from the thumbnail..
EXCEPT.. I stopped at the green area.. I didn't realise it was asking for pink over green.. DAMN..
Oh well, atleast I got the first part..
How do you get an exact value? The circle has no value. Like r could be anything. I don’t understand… help please!
It doesn't matter how big the diagram is, the ratio stays the same. If I take my sandwich and use a magical expansion ray on it, the ratio of bread to slice of beef ought to remain the same, right? You wouldn't expect the bread to increase and not the beef, or vice versa. If that happened the sandwich wouldn't look like an expanded version of how it started.
But coming back to mathematical reality (such as it is), the ratio staying the same is proven by there being an r² in both the numerator and denominator which cancel out (see 2:17). If the ratio was dependent on r somehow, something would prevent that from being possible and there would be an r left over somewhere.
The last third of the video: Seal when the function has fish
I'm gonna subscribe just because he said that the plural of radius is radiuses
Pembe alan -> Pink area, Yeşil alan -> Green Area. That question was Turkish. "Ne mutlu türküm diyene."
Why is it in Turkish doe?
From a Turkish exam i assume.
Okay, Ixmma solve before watching, I think that the 4 circles can be used to make a central square, since all the circles are equally squeezed in there, just get the area of that square(framed as a diamond), remove the area of a single circle from it ane you get green, then you find the wider area, which I just realised I don't know how. Wait.
Okay yeah, use that square with pythagoras to find the length of part of the diameter, div that by 2 and then ad one of the rs up and theres your radius, the rest is easy
No bs, straight to the solution
See, I also tried to make the square, but then I got caught up in trying to figure out the area of the whole circle.
good video.
I didn't even see this coming.
how exciting indeed
Woo hoo, my rough guess was 20:1, so pretty close!
beautiful problem
I always think of this channel as Handy Maths - I'm English.
*How Exciting*
Radii :)
How big is the probability to randomly spot his latest video on my daily recommendation?
My biggest problem is you had to make use of measurement of the graphic in the very first step to get anywhere. There's no point in labeling "r" if I'm being asked to measure to figure out the problem anyways.
There was no guarantee that you could make a square out of those radiuses beyond it happening to match the visuals.
Thank you for acknowledging that we're allowed to use the English plural suffix on loan words (I'm a linguist so I get to say that)
You're clearly not. Someone who has a legitimate intellectual position (in a discipline such as linguistics, mathematics, physics, etc.) would not assert they have that position. Not normally.
If I end a mathematical paper with "P.S. I'm a mathematician.", then I would lose a lot of credibility. Makes you think, huh?
@@Gordy-io8sb You're right, but why are you wasting your time replying to a comment clearly so childish and poorly thought-out? My comment was stupid: just scoff at it and move on. I've read and written enough papers to know that the article I wrote in this video's comment section would be laughed out of any journal. I didn't even cite a single source! Preposterous!
Also (and this is entirely unrelated to the substance of your argument and is 100% ad hominem), your comment's style was hilariously Redditesque. Either you're a brilliant satirist or you need to spend less time telling strangers on the internet why they're less intelligent than you. It seems like you're trying to be friendly and sincere, but on first read it comes across as cynical and mean-spirited. By all means, point out flaws in your opponent's argumentation, but don't make them feel stupid for making dumb comments on RUclips videos.
i saw turkish, i clicked
how. exciting.
I paused the video right away and got to a certain point and spent like 10 minutes thinking surely this can be reduced, then finally gave up and watched the video for the answer. He got to exactly same point I did and then said "and that's the answer!" and now I feel empty
If only i had a math teacher like you.
every maths teacher is good
@@AyushGautam-lb2uk no
Fun video.
This question in my native tongue is so surreal
why green are and pink area writen turkish language?
_How exciting_ he says
Turkish quedtion
Wow !!