Go Geometry Problem Problem 330. Cyclic quadrilateral, Perpendicular diagonals, Area, Circumcenter

The figure shows a cyclic quadrilateral ABCD with perpendicular diagonals AC and BD. If O is the circumcenter of ABCD, prove that the area of quadrilaterals ABCO and AOCD are equal.

Cyclic quadrilateral, perpendicular diagonals, area

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