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max area of inscribed n-gon in a circle with 2 perp. diagonals

Source: Indian Postal Coaching 2009 set 3 p2

May 26, 2020
geometrymaxareapolygonCyclicdiagonalsperpendicular

Problem Statement

Let n≥4n \ge 4 be an integer. Find the maximum value of the area of a nn-gon which is inscribed in the circle of radius 11 and has two perpendicular diagonals.
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