MathDB

58

Part of 1989 IMO Longlists

Problems(1)

Sum of segments of inscribed n-gon vertices and circle point

Source: IMO Longlist 1989, Problem 58

9/18/2008
A regular n\minus{}gon A1A2A3⋯Ak⋯An A_1A_2A_3 \cdots A_k \cdots A_n inscribed in a circle of radius R R is given. If S S is a point on the circle, calculate T \equal{} \sum^n_{k\equal{}1} SA^2_k.
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