Came across this on the internet. I have some ideas regarding this but I wanted to know more such reasonings.
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JMP
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Came across what? – Angina Seng May 04 '17 at 17:08
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Sorry missed the picture earlier. Edited it now. – Diyanko Bhowmik May 04 '17 at 17:09
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Vi Hart had a video on Pi being equal to 4. You should watch it. – Chickenmancer May 04 '17 at 17:10
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4The step "repeat to infinity" should immediately make you suspicious. I've heard someone is still trying to catch a tortoise with that one. – Clement C. May 04 '17 at 17:11
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Duplicate – amWhy May 04 '17 at 17:12
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@ClementC. yeah . . . – Diyanko Bhowmik May 04 '17 at 17:12
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This has been explained on MSE before. – May 04 '17 at 17:12
1 Answers
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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.
Jaideep Khare
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