Tuesday, July 30, 2019

pi - This proof is wrong. How? (See image in link below)




Came across this on the internet. I have some ideas regarding this but I wanted to know more such reasonings.
Proof of Pi


Answer



Fundamentally, you have jumped in without a definition of the length of an arc.



The circumference isn't approximated by the sum of lengths of the lines drawn as shown in the image, but by the sum of the hypotenuses of the right-angled triangles formed around the edge of the circle.


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