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2007 AMC 10BProblem 13P11-15~4 minPrint
CirclesCoordinate GeometryCut the figure into known shapes (triangles, rectangles, sectors)Exploit symmetry to reduce work or pair up objects

Two circles of radius 22 are centered at (2,0)(2,0) and at (0,2).(0,2). What is the area of the intersection of the interiors of the two circles?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.