4

Part of 1969 Spain Mathematical Olympiad

Problems(1)

area of square wanted, regular octagon related

Source: Spanish Mathematical Olympiad 1969 P4

A circle of radius

R

is divided into

8

equal parts. The points of division are denoted successively by

A, B, C, D, E, F , G

H

. Find the area of the square formed by drawing the chords

AF

BE

CH

DG

geometryareasoctagonsquare