To find:
The area of a sector.
Solution:
It is known that the area of a sector is given by:
[tex]A=\frac{\theta}{360}\pi r^2[/tex]Here, the angle is 45 and the radius is 16 mi. So, the area of the sector is:
[tex]\begin{gathered} A=\frac{45}{360}\times\pi(16)^2 \\ A=\frac{1}{8}\times256\pi \\ A=32\pi \end{gathered}[/tex]So, the area of the sector is 32pi mi^2.
THus, option A is correct.