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area of square wanted, regular octagon related

Source: Spanish Mathematical Olympiad 1969 P4

December 4, 2022
geometryareasoctagonsquare

Problem Statement

A circle of radius RR is divided into 88 equal parts. The points of division are denoted successively by A,B,C,D,E,F,GA, B, C, D, E, F , G and HH. Find the area of the square formed by drawing the chords AFAF , BEBE, CHCH and DGDG.
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