olymmath

ISL 1989 Problem 58

    A regular n−n- gon A1A2A3⋯Ak⋯AnA_1A_2A_3 \cdots A_k \cdots A_n inscribed in a circle of radius RR is given. If SS is a point on the circle, calculate T=∑k=1nSAk2.T = \sum^n_{k=1} SA^2_k.

    Dataset text AI-MO AoPS. Quoted with source.

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