Question 988376
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From the Law of Cosines the measure of a side *[tex \Large c] of a regular *[tex \Large n]-gon inscribed in a circle of radius *[tex \Large r] is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ c\ =\ r\sqrt{2\ -\ 2\cos\left(\frac{360}{n}\right)}]


or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ c\ =\ r\sqrt{2\ -\ 2\cos\left(\frac{2\pi}{n}\right)}]


If you prefer to work with radians instead of degrees.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \