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 384: 29


8 in

Work Step by Step

Given the length of the arc is 4$\pi$ in which is 90$^{\circ}$ arc We need to find out the length of the radius of the circle In a circle whose circumference is c, the length l of an arc whose degree measure is m is given by l =$\frac{m}{360}$ * c where c = 2$\pi$ r , m= 90$^{\circ}$ l= 4$\pi$ in. Therefore 4$\pi$ = $\frac{90}{360}$ * 2$\pi$ r r = 4*2 = 8 in. The radius of the circle = 8 in
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