Answer
$706.9$ ft$^{2}$
Work Step by Step
The formula for the area of a sector of a circle having radius $r$ and central angle $\theta$ is $A=\frac{1}{2}r^{2}\theta$.
Substituting the values of $r$ and $\theta$ into the formula:
$A=\frac{1}{2}(30)^{2}(\frac{\pi}{2})$
Solving through a calculator:
$A=\frac{1}{2}(30)^{2}(\frac{\pi}{2})\approx706.9$ ft$^{2}$
