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    Tangent Circles

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    Two congruent semicircles lie on the diameter of a third semicircle, each tangent to the other two. A small circle is tangent to all three semicircles. If the area of the shaded region is 45pi, what is the length of the radius of the small circle.

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    Let the circles be A B C D

    Radius of A is 2r
    B and C is r
    And ...

    Solution Summary

    The radius of a circle tangent to two other circles is found.