Precalculus (10th Edition)

$1.047\text{ in}^2$
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 $A=\frac{30}{360}\cdot \pi \cdot 2^2=\frac{\pi}{3}\approx1.047\text{ in}^2$