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Let A_1, A_2,..., A_12 be twelve equally spaced points on a circle with radius 1. Find (A_1 A_2)^2 + (A_1 A_3)^2 + ...+ (A_11+A_12)^2. (The sum includes the square of the distance between any pair of points, so the sum includes 66 terms. Can someone help me with this problem? Will fan and medal!
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