## Elementary Geometry for College Students (7th Edition) Clone

56.55 $in^{2}$
We need to find the 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 = $\frac{m}{360}$ * $\pi r^{2}$ = $\frac{80}{360}$ * $\pi 9^{2}$ = $\frac{2}{9}$ * 81$\pi$ = 18$\pi in^{2}$ = 56.55 $in^{2}$ Therefore the area of the sector = 56.55 $in^{2}$