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MathNet 2003 — Part 02 Question 81

Math Olympiad Vault · MathNet 2003 — Part 02

Question 81

The quadrilateral $ABCD$ with perpendicular diagonals is inscribed in the circle with center $O$, the points $M$ and $N$ are the middle points of the sides $[BC]$ and $[CD]$ respectively. Find the value of the ratio of areas of the figures $OMCN$ and $ABCD$.