AMC 10 Step by Step
2011 AMC 10AProblem 18P16-20~5 minPrint

Circles A,B,A, B, and CC each have radius 1. Circles AA and BB share one point of tangency. Circle CC has a point of tangency with the midpoint of AB\overline{AB} . What is the area inside Circle CC but outside circle AA and circle BB  ?

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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.