Elementary Geometry for College Students (5th Edition)

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

Chapter 7 - Section 7.3 - More about Regular Polygons - Exercises - Page 343: 13

Answer

a=5 r=5$\sqrt 2$

Work Step by Step

2a=s 2a=10 a=5 The radius, apothem, and half of a side of a square form a 45 45 90 triangle. Therefore, the radius is equal to the apothem times the square root of 2. r=a$\sqrt 2$ r=5$\sqrt 2$
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