olymmath

HMMT November 2009 U20

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Consider an equilateral triangle and a square both inscribed in a unit circle such that one side of the square is parallel to one side of the triangle. Compute the area of the convex heptagon formed by the vertices of both the triangle and the square.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{3+\sqrt{3}}{2}

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