A Curious And Fascinating Geometry Problem

This curious fact was only published in 2011, which is amazing because geometry has been studied for thousands of years. How could such a simple fact go unnoticed for so long?! What is the area of the two semicircles if the circle has an area equal to 1? Special thanks this month to: Michael Anvari, Kyle, Mike Robertson. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions

Jobbings, A. (2011). The Mathematical Gazette
https://www.cambridge.org/core/journals/mathematical-gazette/article/9564-two-semicircles-fill-half-a-circle/6365F0D492DF2E682E71A891C782CAF6

The chalice problem

Azimuth Project (John Carlos Baez)

Geometry Puzzles

Folding proof by Greg Egan
http://math.ucr.edu/home/baez/mathematical/semicircle_puzzle_egan.gif

Cut The Knot
https://www.cut-the-knot.org/proofs/Semicircles.shtml

Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1

Send me suggestions by email (address in video). I cannot reply to everyone but I consider all ideas!

Like many YouTubers I use popular software to prepare my videos. You can search for animation software tutorials on YouTube to learn how to make videos. Be prepared–animation is time consuming and software can be expensive!

Why are there comments before the video is published? Get early access and support the channel on Patreon
https://www.patreon.com/mindyourdecisions

If you buy from the links below I may receive a commission for sales. (As an Amazon Associate I earn from qualifying purchases.) This has no effect on the price for you.

Show your support! Get a mug, a t-shirt, and more at Teespring, the official site for Mind Your Decisions merchandise:
https://teespring.com/stores/mind-your-decisions

My Books (worldwide links)

My Books

My Books (US links)
Mind Your Decisions: Five Book Compilation
https://amzn.to/2pbJ4wR
A collection of 5 books:
“The Joy of Game Theory” rated 4.2/5 stars on 150 reviews
http://amzn.to/1uQvA20
“The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias” rated 3.8/5 stars on 12 reviews
http://amzn.to/1o3FaAg
“40 Paradoxes in Logic, Probability, and Game Theory” rated 4/5 stars on 23 reviews
http://amzn.to/1LOCI4U
“The Best Mental Math Tricks” rated 4.4/5 stars on 40 reviews
http://amzn.to/18maAdo
“Multiply Numbers By Drawing Lines” rated 4.5/5 stars on 19 reviews
http://amzn.to/XRm7M4

Mind Your Puzzles: Collection Of Volumes 1 To 3
https://amzn.to/2mMdrJr
A collection of 3 books:
“Math Puzzles Volume 1” rated 4.5/5 stars on 45 reviews
http://amzn.to/1GhUUSH
“Math Puzzles Volume 2” rated 4.5/5 stars on 14 reviews
http://amzn.to/1NKbyCs
“Math Puzzles Volume 3” rated 4.6/5 stars on 12 reviews
http://amzn.to/1NKbGlp

Connect with me
My Blog: https://mindyourdecisions.com/blog/
Twitter: https://twitter.com/preshtalwalkar
Newsletter (sent only for big news, like a new book release): http://eepurl.com/KvS0r

2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.

Press
https://mindyourdecisions.com/blog/press