Why is there no equation for the perimeter of an ellipseβ½
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Keywords: maths, math, mathematics, comedy, stand-up, matt parker, equation, approx, approximation, formula, function, ellipse, circle, area, perimeter, circumference, ramanujan, Srinivasa, pi, infinite, series, Ο, challenge, find, calculate, percentage, error, total, chart, eclipse, heart, helen arney, jane street, apoud, unnecessary, detail, podcast
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Length: 21min 4sec (1264 seconds)
Published: Sat Sep 05 2020
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i love this channel even though iβm a dumb.
TLDW: Technically there is, but it's the same type as the equation for the circumference of a circle: an infinite series. That is to say, all we can get is an approximation, the precision of which depends on how much work you want to do. The only difference for a perfect circle is that we hide all that work behind the Ο symbol; every ellipse could have its own symbol just the same (but, like... why would we do that).
TLDR: Even every calculation of Pi is an approximation too.
he doesn't actually explain it until 14:00
I was entertained by math. Huh.
I always find it crazy how people in early days can come up with these equations that are elegant and while we have all processing power and come up with something messy.
Hats off to you for knowing about the interrobang.