Answer
$2263$ in$^{2}$
Work Step by Step
The formula for the area of a sector is $A=\frac{1}{2}r^{2}\theta$ where $r$ is the radius and $\theta$ is the central angle in radians.
Substituting the values of $r$ and $\theta$ into the formula and solving using a calculator:
$A=\frac{1}{2}r^{2}\theta=\frac{1}{2}(28.69)^{2}(\frac{7\pi}{4})\approx2263$ in$^{2}$
