Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 8 - Section 8.5 - More Area Relationships in the Circle - Exercises - Page 380: 41

Answer

About 322.54 in$^2$

Work Step by Step

120$^{\circ}$ is one third of the rotation of a circle. radius of the large circle=R=18 radius of the small circle=r=4 A=$\frac{1}{3}$$\pi$R$^2$-$\frac{1}{3}$$\pi$r$^2$ A=$\frac{1}{3}$$\pi$(18)$^2$-$\frac{1}{3}$$\pi$(4)$^2$ A=108$\pi$-$\frac{16}{3}$$\pi$ A$\approx$322.54
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