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Geometry Problem 330: Cyclic quadrilateral, Perpendicular diagonals, Area, Circumcenter - Perfect for High School and College Students!

In the given figure, ABCD is a cyclic quadrilateral with perpendicular diagonals AC and BD. Let O be the circumcenter of ABCD. Prove that the areas of the quadrilaterals ABCO and AOCD are equal

Cyclic quadrilateral, perpendicular diagonals, area

Cyclic quad with lines,
O, the center, awaits proof
Equal areas, shown.



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