Let $n\geq 4$ be an integer. Find the maximum possible area of an $n-gon$ inscribed in a unit cicle and having two perpendicular diagonals.
Source: Romania TST for BMO 1994,second problem
Tags: combinatorics
Let $n\geq 4$ be an integer. Find the maximum possible area of an $n-gon$ inscribed in a unit cicle and having two perpendicular diagonals.