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Vertices to incircle (Posted on 2019-03-30) |
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Let A1, A2...An be the vertices of a regular n-sided polygon P. Let X be a random point on the incircle of P.
Prove that A1X2 + A2X2 + ... + AnX2 = nR2(1 + cos2(pi/n))
Here, R denotes the circumradius of P.
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| Solution | armando | 2019-04-07 16:57:57 |
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