Answer
$1.047\text{ in}^2$
Work Step by Step
Here, $r$ denotes the radius of the sector of the circle.
The Area $A$ of sector can be computed using the formula:
$A=\frac{\theta}{360}\cdot \pi \cdot r^2$
where $\theta$ is the central angle in in degrees.
Hence, here we have
$A=\frac{30}{360}\cdot \pi \cdot 2^2=\frac{\pi}{3}\approx1.047\text{ in}^2$
