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 8 - Section 8.4 - Circumference and Area of a Circle - Exercises - Page 385: 49

Answer

$$r=5.0 \ inches$$

Work Step by Step

Using the equation for the area of a square and a circle, we find: $$ \pi r^2 = s^2 \\ \pi r^2 =(8.9^2) \\ \pi r^2=79.21 \\ r^2=\frac{79.21}{\pi } \\ r=\sqrt{\frac{79.21}{\pi }} \\ r=5.0 \ inches$$
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