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I will very much appreciate if someone can give me a formula for the sum of lengths of all the sides and all the diagonals of a regular n-gon inscribed in a unit circle. Thank you.

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    See this post from a day ago; it discusses a formula for the length of a side of any given 2n-gon inscribed in a circle of radisus R. So you'd use R = 1 for a unit circle. (Note: this only helps with regular polygons with an even number of sides, and is recursive, so it might help to put Andre's info (comment above) and Ross's answer to work!) http://math.stackexchange.com/questions/222325/relationship-between-the-sides-of-inscribed-polygons2012-10-29

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