Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 7 - Review Exercises - Page 338: 13

Answer

The locus is a circle with a center of the half dollar, and that passes through the centers of the penny as it rolls around the half-dollar.
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Work Step by Step

As the penny remains tangent to the half-dollar $O$, $P$ and $Q$ are always col-linear. Therefore, the locus is a circle with a radius of 0,975 in. (The radius of a half-dollar is 0,6 in. and the radius of a penny is 0,375 in.)
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