Mathematics, 12.04.2020 04:21 dtilton2003

A regular dodecagon P_1 P_2 P_3 \dotsb P_{12} is inscribed in a circle with radius 1. Compute
(P_1 P_2)^2 + (P_1 P_3)^2 + \dots + (P_{11} P_{12})^2.(The sum includes all terms of the form (P_i P_j)^2, where 1 \le i < j \le 12.)
Hint(s): Sums of squares of lengths should make you think of what?

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A regular dodecagon P_1 P_2 P_3 \dotsb P_{12} is inscribed in a circle with radius 1. Compute
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