# Chapter 8 - Section 8.5 - More Area Relationships in the Circle - Exercises - Page 391: 41

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}$$\piR^2-\frac{1}{3}$$\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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