Answer
$1060.29\text{ ft}^2$
Work Step by Step
Here, $r$ denotes the radius of the sector of the circle.
The Area of sector can be computed by:
$A=\frac{\theta}{360}\cdot \pi \cdot r^2$,where $\theta$ is in degrees
Hence,
$A=\frac{135}{360}\cdot \pi \cdot 30^2=\frac{675}{2}\pi\approx1060.29\text{ ft}^2$