Question

In circle O below, what is the area of the sector AOB if the mAB = 30°

(leave answer exact)

8π
10π
12π
15π

Answer 1

The area of the sector is
`12\pi`

Explanation:

Given in the circle O,

Length of the radius = 12 units,

`m\widehat{AB}=30^(\circ)`

We know that, the area of the sector is,

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

Putting the values,

`A=(30)/(360)\cdot \pi (12)^2`

`=(1)/(12)\cdot \pi \cdot 144`

`=12\pi`

Therefore, the area of the sector is
`12\pi`