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 8.5 - More Area Relationships in the Circle - Exercises - Page 378: 7


150 $cm^{2}$

Work Step by Step

Given area of 120$^{\circ}$ sector is 50 $cm^{2}$ We need to calculate the entire area of the circle In a circle of radius length r , the Area A of the sector whose arc has degree measure m is A = $\frac{m}{360}$ * $\pi r^{2}$ 50 = $\frac{120}{360}$ * $\pi r^{2}$ $\pi r^{2}$ = 50 * 3 $\pi r^{2}$ = 150 $cm^{2}$ The area of the entire circle = 150 $cm^{2}$
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