Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 7 - Section 7.1 - Locus of Points - Exercises: 25

Answer

The locus of points is a sphere inside of the original sphere that has a radius of 3 cm.

Work Step by Step

It is hard to draw this diagram on paper, but it is not too difficult to describe. Recall, a locus is equidistant from the sphere no matter where you are. Therefore, since the book specifies that the locus should be 2 cm from the original sphere, the locus will be a sphere inside of the original sphere with a radius that is 2 cm smaller.
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