The (Nearly) Perfect Pi Approximation #shorts

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We can't write out every digit of Pi every time we use it, but we've got to represent it somehow. And you were probably taught that 22/7 was a great option. Well... it's an okay option. It's not bad, but it's not amazing.

355/113 is so close to the real value of Pi that you don't encounter a better approximation until you hit 52163/16604. #shorts
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Why do I feel like this whole short is an excuse to say "this is a great slice of pi"

RoxasMatheson
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Engineers watching be like: Isn’t pi supposed to be 3?

manavbeniwal
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π/1 : I'm 4 parallel universes ahead of you.

MTArtStuff
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My calc teacher just said, "leave it as pi, if there is pi in the question there should be pi in the answer."

dawsonharris
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When I was in school, we had some contest to see who could best estimate Pi by measuring circles. I decided to use a string and chalk to draw the biggest circle I could, and it just so happened that the diameter of that circle rounded out to around 113 cm. Needless to say, I won the competition.

SupaKoopaTroopa
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And it's easy to remember. From bottom to top it would be 113355.

MrScarabus
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As a STEMs geek, I love a good math joke, but y=mx+b is where I draw the line.

Kithkanen
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Did anybody notice 52163/16604 fading in just before the end of the video? That's an even better slice of pie!

LambdaCreates
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I think some of you are missing the point. If you were to list every rational approximation of pi in its simplest form (3/1, 13/4, 16/5, etc.) 355/113 is significantly better than the one before it (333/106) and a lot smaller than the next biggest approximation that is better 52163/16604. (That's right there is no fraction better than 355/113 in the 4 digit range) If you were to graph the numerators of these fractions, there is a general trend, then a major anomaly at 355/113.

JB-odpi
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He talks and writes so quickly, ill just believe him.

GrooveScorpion
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"Everyone talks about pi bu-"
"No Kevin, no they don't"

ryanford
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Imagine using 355/113 everytime you calculate an area of the circle.

tarunmongia
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That's six digits to remember and more accurate than 3.14159, but if 3.14 is already in your head remembering an additional six digits brings you to 3.14159265 which just wins out and sounds just so much more impressive (or ridiculous depending on context.)

EliteCuttlefish
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You should have mentioned how 355/113 is just the first 3 odd numbers written twice and split up
11 33 55
113 355
355/113
Easy way to remember it

Mulakulu
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You had written the value of pi exactly till where I had remembered in my free time. Damn

AdityaKumar-gvdj
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Where I thought it was going: *”Everyone always talks about what pi is, but they never talk about who pi is”*

AllTheBestVideos
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Why approximate when you can just write pi as a fraction?


τ/2 = π

reddcube
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0:49 Because doing long-division to calculate 355/113 by hand is a lot more work than calculating 22/7 by hand, and gives more precision than people who _had_ to do long-division by hand usually needed (and a lot more work than just memorizing 10 or so digits). That's why.

I.____.....__...__
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I once tried to rationalize pi and found 355/113 almost by accident

devarshihazarika
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“A great slice of pi!”

*Sir you only left a couple millionths of the pi left*

somemushroom