Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 8 - Review Exercises - Page 386: 23c

Answer

Yes, it can.

Work Step by Step

For a circle to circumscribe a shape, it must be able to touch all of the vertices. If the vertices are not a common distance away from a common point, a circle cannot be circumscribed, for a circle cannot change its radius. Thus, a circle $\underline{can}$ be circumscribed around a rectangle.
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