Has this Peculiar Property of Unit Circles Already been Noticed? – mathoverflow.net

Has this Peculiar Property of Unit Circles Already been Noticed? – mathoverflow.net

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Yesterday I needed to do some calculations with circles and "ventured" to calculate the arc length via the $\int{\sqrt{1+\left(f'(x)\right)^2}}$ formula and was baffled to see that in the case of unit ...

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