Calculating Pi with Real Pies - Numberphile

Numberphile · Beginner ·🌐 Frontend Engineering ·13y ago
Skills: Maths for ML80%

Key Takeaways

Calculates Pi using real pies in a beginner-friendly mathematical demonstration

Full Transcript

[Music] my goal is to not actually do any measurements other than using pi so the entire thing is going to be Pi based we get the circumference in an exact number of Pies give will take we get the diameter a number of Pies divide one by the other we get pi Pi was historically rarely calculated this way because it's notoriously inaccurate to try and get I know where it's uh it's notoriously inaccurate to try and calculate pi uh by measuring a circle [Music] to get any kind of accuracy on our final answer we we have to be as precise as we can [Music] be this is this is a mild problem cuz I want to go from from the very edge of the circle but as you can see I've positioned all the pies exactly on the line as if they're little mini tangents so I'm going to have to move these two out and then I can start doing the diameter exactly on the circumference there like that [Music] so that's 84 and 1/3 of 264 and 2/3 pies around we know the diameter is 84 and A3 pi to get Pi we just divide the circumference by the diameter okay and if we actually work out what that is equals that's really good PI from pies we got 3.1 383 4 which is approximately 3.14 uh so using pies we've got pi to be 3.14 we i i a very happy man right now with the diameter and if I know that ratio I can just measure the diameter that's the easy bit to measure the center point will be my pen and the outside will be the chalk so the pies in theory are a fairly consistent size so they're all yeah they're about the same okay [Music]

Original Description

Our Pi Playlist (more videos): http://bit.ly/PiPlaylist How accurately can we calculate Pi using hundreds of REAL pies? More links & stuff in full description below ↓↓↓ Extended version of this video (director's slice) at http://www.youtube.com/watch?v=x4kyFKyCMv0 This video features Matt Parker: https://twitter.com/standupmaths Matt believes this is the world's most accurate pie-based Pi calculation. More Pi videos: http://bit.ly/W4oDN1 Filmed and edited by Brady Haran Extra camera: James Hennessy Music: http://www.youtube.com/user/AlanKey86 Learn how the music from this video is based on Pi: http://periodicvideos.blogspot.co.uk/2013/03/pimusic.html Clearly these pies were used for educational purposes... However during production of the video, Numberphile donated £314 to a local charity to provide food for people in Nottingham at times of crisis. Behind-the-scenes blog and extra photos: http://periodicvideos.blogspot.co.uk/2013/03/pipies.html We filmed this video at Meadow Lane, home of Notts County FC. NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile
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