#### Answer

56.55 $in^{2}$

#### Work Step by Step

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 $in^{2}$