A circle of radius 1 is internally tangent to two circles of radius 2 at points

A circle of radius 1 is internally tangent to two

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A circle of radius 1 is internally tangent to two circles of radius 2at pointsAandB, whereABis a diameter of the smaller circle.What is the area of the region, shaded in the figure, that is outsidethe smaller circle and inside each of the two larger circles?(A)53π-32(B)53π-23(C)83π-33(D)83π-32(E)83π-232004 AMC 10 B, Problem #25“Find out the what is14of the shaded area.”Difficulty:HardNCTMStandard:GeometryStandardforGrades9–12:Explorerelationships(includingcongruence and similarity) among classes of two- and three-dimensional geometric objects, makeand test conjectures about them, and solve problems involving them.Mathworld.com Classification:Geometry>Plane Geometry>Circles
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