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: 29b

Answer

The radius is about 4.24 inches.

Work Step by Step

The apothem of a regular polygon forms a right triangle with half of a side and a radius. Since the apothem has a length of 3 and half of a side has a length of 3, it is a 45 45 90 triangle. r=a$\sqrt 2$ r=3$\sqrt 2$ r$\approx$4.24
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