Question

Find the area of a 120° sector of a circle whose radius is 6.

4 sq. units
12 sq. units
24 sq. units

Answer 1

`12\pi`

Step-by-step explanation

The area of sector is calculated using

`(angle\:of \: sector )/(360 \degree) * \pi \: {r}^(2)`

The angle of the sector is 120° and the radius of the circle is 6 units.

We substitute the given values into the formula to obtain:

`(120 \degree)/(360) * \pi * {6}^(2)`

`= (120 \degree)/(360) * \pi * 36`

`= (120 \degree)/(10) * \pi = 12\pi`

Hence the area of the sector is
`12\pi`