Question

What is the area of the sector the sector outlined in bold?

Answer 1

To find:

The area of a sector.

Solution:

It is known that the area of a sector is given by:

`A=(\theta)/(360)\pi r^2`

Here, the angle is 45 and the radius is 16 mi. So, the area of the sector is:

`\begin{gathered} A=(45)/(360)*\pi(16)^2 \\ A=(1)/(8)*256\pi \\ A=32\pi \end{gathered}`

So, the area of the sector is 32pi mi^2.

THus, option A is correct.