Question

What is the area of the sector that is not shaded?

12
24
120
144

Answer 1

I am pretty sure the answer is 120 pi. I hope I helped you!

Answer 2

The area of the sector not shaded is
`120\pi`

Solution-

Here,

The angle of the sector = Θ = 60°

Radius of the circle = 12

Then area of the circle will be,

`\text{Area}=\pi * \text{Radius}^2`

Putting the values,

`\text{Area}=\pi * 12^2=144\pi`

We also know that, the area of sector is,

`\text{Area of the sector}=(\theta)/(360^(\circ))* \text{Area of the circle}`

where, angle of the sector is measured in degrees.

Putting the values,

`\text{Area of the sector}=(60^(\circ))/(360^(\circ))* 144\pi\\\\=(1)/(6)* 144\pi\\\\=24\pi`

Therefore, the area of the sector not shaded = 144π-24π = 120π