Pi Hidden in a Huge Triangle #shorts

You all know the Pythagorean theorem, but what does a right triangle with a hypotenuse of 684,912,110,217,988,900 reveal about Pi? A lot, once you figure out the other two sides.

If the square root of 684,912,110,217,988,900 yields 827,594,170, and that equals a^2 + b^2, we can find the ratio of a to b. And the result is an extremely close approximation to pi that matches to 9 digits. Thanks, 684,912,110,217,988,900!

#shorts

[aparks]

when you try to find pie in everything, you're pie-ing too hard

[markmoz]

Come on, fess up. You reverse engineered the maths for this one.

[nuzayerov]

Kevin: "Its a Huge Triangle!"
Unit: Plank Lengths

[lolzhunter]

You could do this with any fraction estimation, i could make a better approximation and a new hypotenuse if i wanted, though i suppose the special property of this one is that its a whole number with no decimals

[Ishan.khanna]

You know it's serious when he doesn't start with hey Vsauce

[akshatvats]

well, not necessarily a 'gigantic' hypotenuse. we could just make it 684, 912, 110, 217, 988, 900 picometers or something

[anonymous]

"Hello 684912110217988900"
The most expected intro for any short.

[MO-R--]

This is why I only watch the normal Vsauce

[_pitako]

Fun fact: you can find any number in an equation using arbitrary numbers if you look hard enough

[archturusdeydas]

Fun fact: The value of (2!*0.5!)² is very close to pi, and the difference is only 4.4x10^-15, which is

[septagram]

So what? The ratio could have been equal to any positive number. This isn't a particularly efficient or interesting way to approximate pi.

[TheOrigamiGenius]

How I say hello to strangers because I'm an introvert:

[Kitsmena]

You can do the same with the halves of these numbers

[diaaa]

I got confused when he said 3.14159625 instead of 3.14159265

[sonoftunk]

0:33 audio skips the first 5 digits of the number

[dakeypunchar]

If the unit is a nano meter?

Then
684, 912, 110, 217, 988, 900nm =
684, 912.110, 217, 988, 900km =
0.684, 912, 110, 217, 988, 900Mm(megameter)

So big

That's how much distance it needs to go and come from moon to earth.

54 times the earth's diameter

If you walk this distance you can go round earth 17 times.

[vaalrus]

“Vsauce, totallyundermedicatedhere…"

[sebastiand]

Finally an easy way to remember the first digits of pi.

[Fyodor]

The angles of the right angle triangle is actually approx. 72.344 degrees, 90 degrees and approx. 17.655 degrees.

[gregpahren]

That's 59 seconds I'll never get back.