This fact always baffles me. I remember the whole class arguing with my maths teacher. We just couldn’t believe it until he demonstrated and showed us the maths calculations
more like: making a simple concept sound like sth. mind-blowing. 2 times pi multiplied with the radius is the formula for the circumference, everyone should know that.
How ironic that Mark was the keynote speaker for the National Science Teaching Association Denver, Co. 24 event. His dream, and he is almost there is to be a teacher. Thank you Mark for being accessible and reaching while teaching today's kids. We loved you at NSTA 24, Denver
@@Baseball2287 but the angle doesn't change. Only the radius of the circle does, which means for every increase of the radius by 1 of whatever unit you are using, you would need 2pi of that unit more. I.E. 2 feet would mean 4pi, 6 feet would be 12pi.
@@Miggy427and if you increase to the diameter of the earth by a kilometer then It would be 6.28 km of rope. Whatever unit you are increasing the diameter of this circle by, You would need an extra 6.28 of that unit to reach the new circumference of this circle
It's simple, suppose *inital circumference of earth = length of rope = 2Πr* {Where Π denotes pi, i.e. Π=3.14}. Now if we want to increase the height by *1 feet* , we get the *final radius R = r+1* , where the *unit of measurment is feet* . Now the *final length of rope = final circumference = 2ΠR = 2Π(r+1)* , and we get *2Πr + 2Π* . Now because *2Πr was the initial length* of the rope, so we only need *2Π feet* of extra rope, where *Π=3.14* . So to be exact *6.28 feet of extra rope* would be needed... It's simple maths...
Interestingly enough I had this exact question asked to me 2 years ago on a job interview for a large company and I was the first candidate who got the closest to the answer in the entire history of that company. Still proud of that moment Context: Apprentice application for a major automobile automation company in which quick logical thinking was required in the field I wanted to work in (IT). Every company decides for themselves what they want to ask, believe it or not
I dont understand? Why closest. This could be solved exactly (assuming perfect sphere). So did everybody answer it wrong or was this suppose to be like intuitive guessing (no handwritten math allowed)
Журнал "Наука и Жизнь" 70 годов прошлого века... "Опоясываем верёвкой земной шар, добавляем к ней 1 метр и равномерно распределяем- какое расстояние будет между землёй и верёвкой?"- ответ, вроде, 14см. У этой задачи было и продолжение- "Если пальцем оттянуть верёвку так, чтобы она вытянулась "каплей", примкнув к земле с противоположной стороны, какое теперь получится расстояние?" 😉
Made perfect sense the moment i thought about it. What's crazy to me is how my brain would immediately assume much more would be needed even though the math is so simple.
For those who want to calculate π(d+2) = πd + 2π πd + 2π - πd = 2π Please read notes mentioned below to know flaws 👇🏻 Explanation - Imagine a circle of dia 'd' whose perimeter will be 'πd'. Now imagine, cut the perimeter line of the circle and expand it such that it will apart from circle by 1unit of distance. Then the dia will be 2+d hence perimeter will be π(2+d). Now subtract previous perimeter from this perimeter and you'll get at difference of 2πunit distance. NOTE 1: he didn't mentioned something about units that matters. As per unit of 'increase in height' taken the 6.28 (value of 2π) should be considered. Hence every time you increased the d by 2 then 6.28 will not be same. NOTE 2: He did mentioned that increase height by 2 then he should understand that 'd' will increase by '4' as increasing height on all over perimeter. So to get '2π' we would increase height by '1unit' and if increased by 2 then perimeter difference will be '4π'.
That's more necessary because the Earth is exactly round and there are actually mountains. Above the ocean, it's heavier because of the moisture, so more is needed.
Логическое объяснение: Представьте, что веревка - это, цепь, состоящая из шариков/молекул: На весь радиус Земли 30 см - это небольшое растяжение цепи. А вот для баскетбольного мяча плотность цепи сильно уменьшается. Поэтому и получаем такую зависимость количества материала (плотности/длины) от радиуса описываемого объекта.
If only there were more teachers like Mark, instead of snarky "here's the exercise, now keep quiet" types, the world would have already solved all of the problems...
Mark, as a math youtuber, I must say that the measurement for the rectangle is slightly inaccurate. When you connect the lines together, at the corners the rope would be _more_ than 1ft away, (which you can verify yourself by measuring diagonals). The word you’re looking for when describing _exactly_ 1ft away is a locus or loci. It basically means fixed distance, like you wanted. This leads to an even MORE mindbending theorem - given any shape, no matter its shape (but iirc it needs to be convex), the locus of 1ft away from that shape is _ALWAYS_ 6.28ft more than its perimeter. No matter what. How does it fit into our rectangle problem, you say? It’s actually surprisingly simple. At the corners, don’t draw two straight lines, but an arc of a _circle_ that connects the two ropes. That rope length is about 1.57ft (or pi/2 ft), and since there are 4 corners, 1.57 times 4 = our magical number, 6.28. Mind blown.
That's not 5th grade. And even if it was, what's wrong with getting people thinking about stuff they haven't thought about in years? And you don't think that any kids are watching? Plus, it's just fun
Multuple choice questioniares by default set you up for failure not only in your academic studies but in your real life pursuits. Simply memorizing answers to a question does not teach you the necessary skills for problem solving that are required to be successful in life.
@@brandonboxninja1266 that’s not true for math questions as you generally need to show your work. And if you come to a result that doesn’t match one of the choices you know you need to fix something.
Ese dato lo vi en Discovery channel hace como 12 años, Salian cortos así entre los comerciales de los documentales, así supe que BY-Cannis Mayoris era la estrella mas grande, que fué primero el huevo y después la gallina y que según los aztecas estamos en el quinto sol Buenos recuerdos
Wait. I'm taking a stab at it before it's explained. Making it a foot off the ground means increasing the radius by 1ft, so umm. I think it's just 6.28ft longer?..
Be careful when you say observing. What’s important is a classical system interacted with the quantum one not that there was a human present to see the results
@@cambon. 8 is the length of a circumference of a square where each side is length 2, but if you put a circle inside that square the circumference of the circle comes to 2*pi which is about 6.2, not 4. The circumference of a circle is calculated 2*pi*radius, not pi*d . In your example if we put a circle inside your box with a side of 4 we get 4*pi.
@@DanielWillen I get what youre saying but im not talking about if you put a circle inside of a square. Im just saying straight up a square and if the perimeter was the circumference and if a side length was the diameter. also.. 2*pi*r = pi*d...
Yeah, that's the literal definition of pi. That's how it was discovered and defined. It's the ratio of the diameter of a circle to it's circumference. So yes, "square pi" would be 4.
mark just taught me that the earth is obese
Lmao
The Earth was American all along?? 😱😭😭
💀
When was Caseoh buried?
💀💀
Mark just ran around the globe just to teach us facts, claps for him👏
E
The time of the yellow octopus has come
It's called maths not running around the world
Stop glazing
@@jatinrawat777bro he really ran around the equator believe me, i was the cameraman
This fact always baffles me. I remember the whole class arguing with my maths teacher. We just couldn’t believe it until he demonstrated and showed us the maths calculations
It just seems unlogical for some reason
@@MrJuhs91 yup
Hello 👋🤗
No
Я думал он покажет это на примере одного шарообразного объекта и другого но большего шарообразного объекта
Dude because the dual audio option came out of nowhere i thought that i was high and was just imagining mark speaking japanese
I just tried that. It's neat but it changes the voice much.
How does it work? Did Make Rober find people to record all of that in their language or did CZcams do it instantly and automatically?
@@glh2103 people does it manually
what happened?
@@standlethemandle You can toggle other audio just like you can change the speed of the video
The impressive part is making a tricky concept simple to understand.
Real
I still don’t understand
@@meegssan5716 wait till you learn bout circles in school
@@dennynguyen9961 dont worry, circle aint that hard bro, keep learning!
more like: making a simple concept sound like sth. mind-blowing.
2 times pi multiplied with the radius is the formula for the circumference, everyone should know that.
logically, I understand this, but my intuition is unwilling to accept that
That isn't logical
@@ThreeTrees475 exactly
@@ThreeTrees475 Thanks for the insight, Spock.
Он не правила говорить
Same
No Mark, NO! I’m trying to sleep, do not start your nonsense. I will be awake all night with a pickled brain now…
Same
Да блин не говорите на английском я не понимаю вас хорошо пожалуйста
Это весьма интересно, даже не смотря на то, что это очень легко посчитать. Привет из России
Flat earthers are about to go crazy watching this video 💀
How does this have 142 likes and no comment
Here before this comment becomes famous
Naw thay gonna say
BUT THAT DONT MAKE SCENCE
Flat earthers?😂 Who cares about their opinion
@@vishwasvishu702 no one
But its still funny to hear them ramble
Math and Science in school: ❌️
Math and Science with Mark: ✅️
How ironic that Mark was the keynote speaker for the National Science Teaching Association Denver, Co. 24 event.
His dream, and he is almost there is to be a teacher.
Thank you Mark for being accessible and reaching while teaching today's
kids. We loved you at NSTA 24, Denver
Science and dumbperial units are oxymorons
@@mr2octavio What an incredibly childish comment
@@RunstarHomer go measure how bad the comment is by units of 12 yanky
Ñ
The real question is how would the rope stay 1 foot off of the entire earth
10,000 little 1 foot posts.
Mark is actually teaching my kids to love math. Love you dude!
In case I wasn't clear - we're talking about the greatest challenge in my life.
Flat earth:❌
Round earth: ❌
SQUARE EARTH:✅
X all wrong it is donut earth
I like this idea... I'm gonna start arguing everybody about it
Flat earth ❌️
Round earth ❌️
Square earth ❌️
Plastic bag earth ✅️
Assume π equals to 4
I hear Gene Ray had a Time Cube he'd like to tell you about -- if he were still around.
I don't care about the math (sarc), i still literally can't wrap my brain around this. i need two pies.
golden comment lol
aren't we all
Genius
no you need 2π also known as 6.28318530718
I still don’t know how 3.1415 (pie) is tied to circles
Can’t believe I needed this info so badly, life has changed ty
هذا ما يحدث حين تكون مجنون با الرياضيات 😅😹
Mark has taught me more science than school
Frrrr
True
what school are you going to? homeless academy?? 🤣
To be fair, you probably weren't paying as much attention in school as you are to him xD
I remember hearing this exact thought experiment at school. Except there was 1 meter instead of 1 foot and a coin instead of a basketball.
If you increase the radius by a meter, it's 6.28m more rope too, doesn't matter which unit
No units matter. He used ft to increase the radius but the circumference of the earth was in km. He is wrong! Of course he is. He is not asian 😂
@@Miggy427 it literally doesn't matter, radians are unitless
@@janthranthat doesn’t make since. Radians are an angle measure
@@Baseball2287 but the angle doesn't change. Only the radius of the circle does, which means for every increase of the radius by 1 of whatever unit you are using, you would need 2pi of that unit more.
I.E. 2 feet would mean 4pi, 6 feet would be 12pi.
@@Miggy427and if you increase to the diameter of the earth by a kilometer then It would be 6.28 km of rope. Whatever unit you are increasing the diameter of this circle by, You would need an extra 6.28 of that unit to reach the new circumference of this circle
It's simple, suppose *inital circumference of earth = length of rope = 2Πr* {Where Π denotes pi, i.e. Π=3.14}.
Now if we want to increase the height by *1 feet* , we get the *final radius R = r+1* , where the *unit of measurment is feet* .
Now the *final length of rope = final circumference = 2ΠR = 2Π(r+1)* , and we get *2Πr + 2Π* .
Now because *2Πr was the initial length* of the rope, so we only need *2Π feet* of extra rope, where *Π=3.14* .
So to be exact *6.28 feet of extra rope* would be needed...
It's simple maths...
What is bro teacher😭
Thx alot bro
WhAt?????
a friend of mine : isnt the earth a geoid???
That square and rectangle explanation really made it click, thanks!
Interestingly enough I had this exact question asked to me 2 years ago on a job interview for a large company and I was the first candidate who got the closest to the answer in the entire history of that company. Still proud of that moment
Context: Apprentice application for a major automobile automation company in which quick logical thinking was required in the field I wanted to work in (IT). Every company decides for themselves what they want to ask, believe it or not
I dont understand? Why closest. This could be solved exactly (assuming perfect sphere). So did everybody answer it wrong or was this suppose to be like intuitive guessing (no handwritten math allowed)
@isaacaguilar5642 pure guessing with little time to think about it. Was a very interesting and unique question
And then everyone clapped I assume?
@averageboiz5088 This isn't reddit. No one clapps for you in a job interview
Now I'm curious for what job that interview was..
Журнал "Наука и Жизнь" 70 годов прошлого века... "Опоясываем верёвкой земной шар, добавляем к ней 1 метр и равномерно распределяем- какое расстояние будет между землёй и верёвкой?"- ответ, вроде, 14см. У этой задачи было и продолжение- "Если пальцем оттянуть верёвку так, чтобы она вытянулась "каплей", примкнув к земле с противоположной стороны, какое теперь получится расстояние?" 😉
Не томи, сколько? 😂
@@user-me3fh1jz7h МГУ со шпилем🤯🤪
Ура русско говорящий!
Made perfect sense the moment i thought about it. What's crazy to me is how my brain would immediately assume much more would be needed even though the math is so simple.
That TV is MASSIVE according to the rope's length lmao. 😂
imao
School ❌
Mark Rober ✅
He payed attention in class so we don’t have to
Bro is tooo smart for us💀
i learned this from a video of veritasium, about a SAT math question about a small circle rotating around a big circle.
That TV is 135", didn’t know they made TVs that big. 😂
Oi
cinema
My brain is not braining🤐
🤣🤣🤣
Surely Americans 👍🌚
@@GingleSpheremark rober is American...
@@GingleSphere100%
My brain cell not brain celling
Gracias por tus videos, era lo que también estaba buscando, felicidades! ❤❤❤❤
Pls Mark do this experiment to prove to all those flat earthers
For those who want to calculate
π(d+2) = πd + 2π
πd + 2π - πd = 2π
Please read notes mentioned below to know flaws 👇🏻
Explanation -
Imagine a circle of dia 'd' whose perimeter will be 'πd'.
Now imagine, cut the perimeter line of the circle and expand it such that it will apart from circle by 1unit of distance. Then the dia will be 2+d hence perimeter will be π(2+d).
Now subtract previous perimeter from this perimeter and you'll get at difference of 2πunit distance.
NOTE 1: he didn't mentioned something about units that matters. As per unit of 'increase in height' taken the 6.28 (value of 2π) should be considered. Hence every time you increased the d by 2 then 6.28 will not be same.
NOTE 2: He did mentioned that increase height by 2 then he should understand that 'd' will increase by '4' as increasing height on all over perimeter. So to get '2π' we would increase height by '1unit' and if increased by 2 then perimeter difference will be '4π'.
That makes so much more sense than how he said it... I'm not knocking his method or anything. I just need to see the numbers written out like that
Thanks
We know that Circumference = 2 x Pi x Radius. If radius increases by 1, then circumference increases by 2 x Pi x 1. It's actually suprisingly simple!
abe tuchiye... kyon repeat kar raha hai. jyada hero hai kya tu?
"the math isn't that complex"
I got confused the moment he said math
"the mat-"
*brain oozes out*
it's just 2pi(r+1) dude
@@the.abhiram.r where did u get those letters from? Isn't math suppose to be just numbers? Bro you're hurting my brain😭😭
@@T.Cbasically all math above a middle school level
That is Year 8 maths, you must be
Yo solo pense que habia que desplazarla ligeramente a un polo
That's more necessary because the Earth is exactly round and there are actually mountains. Above the ocean, it's heavier because of the moisture, so more is needed.
I have a master's degree in mathematics and was in shock for about 15 minutes
bro 💀
bro 💀
bro 💀
bro seriously?? grade 10 maths literally
@@aarnajain6723 Knowing a fact doesn't mean you automatically know every use case for the fact. Thats common sense you should've learnt at age 10
Teasing those flat earthers with that one bit 😂
This video just made my heart melt.
The fact that they still use the yard-pound method is crazier
Bro really just pulled out the Minecraft earth to explain this crazy fact, love your vids
Логическое объяснение:
Представьте, что веревка - это, цепь, состоящая из шариков/молекул: На весь радиус Земли 30 см - это небольшое растяжение цепи. А вот для баскетбольного мяча плотность цепи сильно уменьшается. Поэтому и получаем такую зависимость количества материала (плотности/длины) от радиуса описываемого объекта.
У слишком
I replayed the video more than five times and I still don't understand😂😢
To connect the ropes around the square, you'd need 4 quarter circles with radius 1, 2πr with r=1 so 2π
If only there were more teachers like Mark, instead of snarky "here's the exercise, now keep quiet" types, the world would have already solved all of the problems...
Mark: Now the math isn't that complex.
Also Mark: (writes a bunch of random stuff that I don't understand one bit.)
Ain't allat just middle school math
@@RJ_5931 They're probably in middle school and havent got to that kind of math yet
@@RJ_5931nah thats like primary school math
@@RJ_5931 I'm homeschooled so...😅
@@MoblinkYTYeah well your homeschool lacking dawg 💀
That's so obvious... The earth has a radius of 6000 meters, why should one meter make such a big difference?
Mark, as a math youtuber, I must say that the measurement for the rectangle is slightly inaccurate.
When you connect the lines together, at the corners the rope would be _more_ than 1ft away, (which you can verify yourself by measuring diagonals). The word you’re looking for when describing _exactly_ 1ft away is a locus or loci. It basically means fixed distance, like you wanted.
This leads to an even MORE mindbending theorem - given any shape, no matter its shape (but iirc it needs to be convex), the locus of 1ft away from that shape is _ALWAYS_ 6.28ft more than its perimeter. No matter what.
How does it fit into our rectangle problem, you say? It’s actually surprisingly simple. At the corners, don’t draw two straight lines, but an arc of a _circle_ that connects the two ropes. That rope length is about 1.57ft (or pi/2 ft), and since there are 4 corners, 1.57 times 4 = our magical number, 6.28. Mind blown.
also the dopest loop i’ve seen 👍🏽✨
Mark explaining 5th grade math to his fanbase
Ex Nasa engineer's "coolest fact" 😂
That's not 5th grade. And even if it was, what's wrong with getting people thinking about stuff they haven't thought about in years? And you don't think that any kids are watching? Plus, it's just fun
its easier to understand when you do it in percentages
I've heard this before, but the square example made it so obvious
Mark has taught me more than school by himself
“Time to start over” continues to make the same mistake
This guy taught me more in 30 seconds than my teachers in 15 years
Your videos are always so fun to watch.
I’ve asked this to some very smart engineers in a multiple choice style and they have failed.
No way
Multuple choice questioniares by default set you up for failure not only in your academic studies but in your real life pursuits. Simply memorizing answers to a question does not teach you the necessary skills for problem solving that are required to be successful in life.
@@brandonboxninja1266 that’s not true for math questions as you generally need to show your work. And if you come to a result that doesn’t match one of the choices you know you need to fix something.
@@brandonboxninja126699% of the time multiple choice questions aren’t memorizing answers to questions at least not in math based fields
But Mark misspelled circumference as "circumfrence", so the formula doesn't work now. 😜
Nice catch!
Ah yes, the Chicken from Minsk problem
으아아ㅏㅇㅇ 성우분 목소리 어디서 많이 들어봤는데 진짜 익숙한데 이 목소리
마자마자맞 엄상현 성우!!!!
Learning from school ❌
Mark Rober ✅
Ese dato lo vi en Discovery channel hace como 12 años,
Salian cortos así entre los comerciales de los documentales, así supe que BY-Cannis Mayoris era la estrella mas grande, que fué primero el huevo y después la gallina y que según los aztecas estamos en el quinto sol
Buenos recuerdos
If you could do it, flat-earthers would meet their match!
Whats even more crazy is that knowledge is an illusion
Wait. I'm taking a stab at it before it's explained. Making it a foot off the ground means increasing the radius by 1ft, so umm. I think it's just 6.28ft longer?..
i said "just a little more then what you have"
and considering the amount.. yea. a little lol
This is one of the best transistions I have seen
Flat earthers breathing heavy
That loop was crazy😮😮😮😮😮😮😮😮😮😮😮😮
The craziest fact I know is: observing an experiment can change the outcome.(double slit)
Be careful when you say observing. What’s important is a classical system interacted with the quantum one not that there was a human present to see the results
@@deananderson7714exactly
Обожаю шортсы Марка Робера. В них всегда есть экшен и душа :)
Bro that transition from the end to the start of the short was clean
That is hella cool. Also hi from New Zealand.
四角の例えわかりやすい
My brain ain’t braining
I just taught me more than my math teachers Told me In 14 years
Can't believe this guy is coming to my school on Friday
The earth is so obese it needs a belt😂
what i learned from this is that square pi is 4.0
@@TheAgaskins a square of "diameter" 4 has a "circumference" of 16. Circumference of a circle is calculated as pi*d. So square pi would be 4.
@@cambon. 8 is the length of a circumference of a square where each side is length 2, but if
you put a circle inside that square the circumference of the circle comes to 2*pi which
is about 6.2, not 4.
The circumference of a circle is calculated 2*pi*radius, not pi*d .
In your example if we put a circle inside your box with a side of 4 we get 4*pi.
@@DanielWillen I get what youre saying but im not talking about if you put a circle inside of a square. Im just saying straight up a square and if the perimeter was the circumference and if a side length was the diameter. also.. 2*pi*r = pi*d...
Yeah, that's the literal definition of pi. That's how it was discovered and defined.
It's the ratio of the diameter of a circle to it's circumference. So yes, "square pi" would be 4.
im having PTSD seeing those calculations
6.28피트 필요한 것에 놀라는게 아니라 피트라는 단위가 자연스럽게 나와서 놀랐어요
Bro used 999% of his brain 🧠
Meanwhile flat earthers : 👁👄👁
Looks like mathematicians are just adults who like to play with number, letters and logical challenges
The really fun part is, due to the stretchiness of the material, that 6 feet would be made up easily.
The perfect mark rober loop doesnt exists
As you can see, it does.
It skipped a beat for me.
Mark rober out here teaching me more than school
I won't get more than 1 like😢😢
Only cause you don't listen in school
Apparently Mark hadn’t heard of the metric system.
I saw that in a math problem that veritasium channel issued some time ago.
Mark : Imagine the earth is a square
Flat earthers : AH HA! got ya, he admitted it!!!
as soon as he said 6.28 ft i knew it was double pi
He is gonna be the next Einstein
How is this possible? Math is hard and this feels like a simulation.
I learn more from a mark rober video than a whole school year
Why do people brag about not paying attention in school?
Sad that people forget foundational algebra and geometry cuz it really does apply everywhere
Flat earthers after this…
My brain said "wut?"
Flat earthhers have been real quiet after this dropped 💀
How so?
This doesn't disprove flat earth in any way?
The basis requires you believe the earth is in fact a sphere to begin with..
Mark teach us better then our teachers 😅
the only reason i got through college was him 😭
もしかして、どの国の人にもそれぞれの言語で聞こえてる？
i wonder if mark knows it not the wind push the sail that make the ship move, its the drag pulling the sail