Answer
$36\text{ ft}^2$
Work Step by Step
The area $A$ of sector can be computed using the formula:
$A=\frac{\theta}{2}\cdot r^2$, where $r$=radius and $\theta$ is in radians
Hence, here we have
$A=\frac{2}{2}\cdot 6^2
\\A=36\text{ ft}^2$