Explore BrainMass

Explore BrainMass

    1. Mathematics
    2. Geometry and Topology
    3. Geometric Shapes
    4. Circles
    5. 8623

    Tangent Circles

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Please see the attached file for the fully formatted problems.

    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 March 4, 2021, 5:44 pm ad1c9bdddf
    https://brainmass.com/math/circles/tangent-circles-8623

    Attachments

    Solution Preview

    Please see the attached file for the complete solution.
    Thanks for using BrainMass.

    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.

    $2.49

    ADVERTISEMENT

    Related BrainMass Content

    ADVERTISEMENT