Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 8 - Section 8.5 - More Area Relationships in the Circle - Exercises - Page 378: 12

Answer

9 in

Work Step by Step

Given perimeter of the sector = 30 in. The sector has arc length = 12 in We need to find the length of the radius of the circle It is the region bounded by two radii of the circle and arc intercepted by those radii Perimeter of the sector = 2 *radius of the circle + arc length of sector 30 = 2 *radius of the circle + 12 30 - 12 = 2 *radius of the circle 18 = 2 *radius of the circle radius of the circle = $\frac{18}{2}$ = 9 in
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