Question

Find the area of the shaded sector. Leave your answer in terms of pi.

Answer options:
18pi ft2
24pi ft2
32pi ft2
3pi ft2

Answer 1

= 18 ft²

Explanation:

The area of a sector is given by the formula;

Area = θ/360 × πr² ; where θ is the angle subtended by the arc to the center, r is the radius.

Therefore;

Area = 45/360 × π ×12²

= 18 ft²

Answer 2

18π ft^2

Explanation:

Area of Sector =
`(\theta)/(360)*\pi r^2`

Where

`\theta` is the angle of the sector (in our case it is 45°), and

r is the radius (which is 12 ft)

So we plug these into the formula and get our answer to be:

`A=(\theta)/(360)*\pi r^2\\A=(45)/(360)*\pi (12)^2\\A=(1)/(8)\pi*144\\A=18\pi`

This is our answer: 18π