Channel: MindYourDecisions

Category: Science & Technology

Tags: mathematicsmathspuzzlemath puzzlemathbrain teaserriddle

Description: A semicircle contains an inscribed semicircle dividing its diameter into two lengths a and b. Can you find the formula for the inscribed semicircle's diameter in terms of the lengths a and b? What is the locus of the center of the inscribed semicircle? Thanks to Nick from Greece for the suggestion! Special thanks this month to: Mike Robertson, Michael Anvari, Daniel Lewis, Robert Zarnke, Kyle. Thanks to all supporters on Patreon! patreon.com/mindyourdecisions Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! 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. Book ratings are from June 2021. My Books (worldwide links) mindyourdecisions.com/blog/my-books/#worldwide My Books (US links) Mind Your Decisions: Five Book Compilation amzn.to/2pbJ4wR A collection of 5 books: "The Joy of Game Theory" rated 4.2/5 stars on 200 reviews amzn.to/1uQvA20 "The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4/5 stars on 17 reviews amzn.to/1o3FaAg "40 Paradoxes in Logic, Probability, and Game Theory" rated 4.1/5 stars on 30 reviews amzn.to/1LOCI4U "The Best Mental Math Tricks" rated 4.2/5 stars on 57 reviews amzn.to/18maAdo "Multiply Numbers By Drawing Lines" rated 4.1/5 stars on 23 reviews amzn.to/XRm7M4 Mind Your Puzzles: Collection Of Volumes 1 To 3 amzn.to/2mMdrJr A collection of 3 books: "Math Puzzles Volume 1" rated 4.4/5 stars on 75 reviews amzn.to/1GhUUSH "Math Puzzles Volume 2" rated 4.3/5 stars on 21 reviews amzn.to/1NKbyCs "Math Puzzles Volume 3" rated 4.3/5 stars on 17 reviews amzn.to/1NKbGlp 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. My Blog mindyourdecisions.com/blog Twitter twitter.com/preshtalwalkar Merch teespring.com/stores/mind-your-decisions Patreon patreon.com/mindyourdecisions Press mindyourdecisions.com/blog/press