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HMMT November 2010 U17

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A triangle with side lengths 5,7,85,7,8 is inscribed in a circle CC. The diameters of CC parallel to the sides of lengths 5 and 8 divide CC into four sectors. What is the area of either of the two smaller ones?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{49}{18} \pi

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