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area if union circle and square, AE + AF = 2(BE + DF) 2015 BMT Individual 17

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January 3, 2022
geometryareassquare

Problem Statement

A circle intersects square ABCDABCD at points A,EA, E, and FF, where EE lies on ABAB and FF lies on ADAD, such that AE+AF=2(BE+DF)AE + AF = 2(BE + DF). If the square and the circle each have area 1 1, determine the area of the union of the circle and square.
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