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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.

    © BrainMass Inc. brainmass.com April 3, 2020, 1:42 pm ad1c9bdddf
    https://brainmass.com/math/circles/tangent-circles-8623

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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.

    $2.19

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