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A polygon of n sides, inscribed in a cir...

A polygon of n sides, inscribed in a circle, is such that its sides subtend angle `2 alpha, 4 alpha,…,2n alpha` at the centre of the circles. Prove that its area `A_(1),` is to the area `A_(2)` of the regular polygon of n iseds inscribed in the same circle, as `sin n alpha : n sin alpha.`

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