Elementary Geometry for College Students (5th Edition)

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

Chapter 8 - Section 8.4 - Circumference and Area of a Circle - Exercises - Page 385: 13

Answer

r $\approx$ 6.7cm

Work Step by Step

Given A metal circular disk whose area is 143 $cm^{2}$ is used as a knockout on an electrical service in a factory The area A of a circle whose radius has length r is given by A = $\pi r^{2}$ 143 = $\pi r^{2}$ $r^{2}$ = $\frac{143 * 7}{22}$ = 45.5 r = $\sqrt 45.5$ r = 6.746 cm r $\approx$ 6.7cm
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