Answer: 2.35 square miles.
Step-by-step explanation:
To solve this exercise you must apply the formula for calculte the area of a sector in a circle, which is shown below:
[tex]A=r^2\pi(\frac{C}{360})[/tex]
Where C is the central angle in degrees and r is the radius.
Therefore, knowing that:
[tex]C=30\°\\r=\frac{6mi}{2}=3mi[/tex]
When you substitute values, you obtain the following result:
[tex]A=(3mi)^2\pi(\frac{30\°}{360})[/tex]
[tex]A=2.35mi^2[/tex]
