Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 7 - Review Exercises - Page 348: 16

Answer

The locus is the interior of a sphere of radius 3 units that is centered on the given point.

Work Step by Step

While this figure is fairly hard to draw, it is not too difficult to describe. Recall, a locus to the point is the same distance away from the plane at all points. Thus, there are infinite spheres of radius under 3 cm that are centered on the point that are solutions to this problem. Combining all of these points, we find that the locus is the interior of a sphere of radius 3 units that is centered on the given point.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.