Does Pi Equal 2?? (Spoiler: no)
In this short, we show a thought experiment that arises by doubling the number of semicircles drawn in a semicircle but halving their radii. The process produces an infinite collection of smaller and smaller chains of more and more semicircles that always have combined circumference length equal to pi. If we think about the limiting process, it seems like maybe this technique shows that pi = 2. But Pi can definitely be shown to be greater than 3 - so where does this argument fail?
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks!
Here is a related false proof that shows root 2 is equal to 2:
• Is square root of 2 equal to 2? (Spoi...
This false argument was suggested to me by Jeff Stuart as a nice alternative to the more classic Pi = 4 argument.
#math #manim #visualproof #proofwithoutwords #circle #circumference #radius #pi #piday #shorts #infinite #falseproof
To learn more about animating with manim, check out:
https://manim.community
Watch video Does Pi Equal 2?? (Spoiler: no) online without registration, duration hours minute second in high quality. This video was added by user Mathematical Visual Proofs 11 March 2024, don't forget to share it with your friends and acquaintances, it has been viewed on our site 1,063,775 once and liked it 44 thousand people.