Welcome to 8 Ways to Approximate π, my π Day project! This project features 8 ways to approximate π from 4 different categories: Probability, Infinite series, Geometry, and Calculus! Click the green flag to get started (double click if necessary) and report any bugs in the comments. For reference: π = 3.141592653589793238... VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV Some notes: Yes, I know these might not be the best approximations, but the point was to showcase the idea that π is not only for geometry. It pops up in other branches of math (though its uses there are often based in geometry). Also, the explanations are not super in-depth because I wanted to limit them to one page to make sure people don't sit for hours trying to make sense of them. Finally, don't feel daunted by any math you don't understand. Truly understanding all of these methods requires a fair bit of math knowledge, but this project is only for showcasing them. I actually encourage you to look further into the reasoning of anything you don't understand.
Thanks to... - the Greeks for discovering π - https://en.wikipedia.org/wiki/Buffon%27s_needle - https://en.wikipedia.org/wiki/Inverse_trigonometric_functions - https://en.wikipedia.org/wiki/Binomial_series - https://en.wikipedia.org/wiki/Geometric_series - https://www.youtube.com/watch?v=sJVivjuMfWA - Geometry: The Size and Shape of Everyday Math (pages 30-31, 73) - http://functions.wolfram.com/Constants/Pi/07/01/ - https://scratch.mit.edu/projects/86425446/ ... whew! That's a lot of sources!
