olymmath

HMMT 2002 U34

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Points PP and QQ are 3 units apart. A circle centered at PP with a radius of 3\sqrt{3} units intersects a circle centered at QQ with a radius of 3 units at points AA and BB. Find the area of quadrilateral APBQ.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{3 \sqrt{11}}{2}

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