Question

Need help please its my last question

Answer 1

Given:

Radius of circle = 12 units

Area of sector = 24π sq. units.

Central angle = x

To find:

The value of x.

Solution:

We have,

`r=12`

`A=24\pi`

`\theta = x`

We know that, area of a sector is

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

Where,
`\theta` is central angle, r is radius.

`24\pi=(x)/(360^\circ)\pi (12)^2`

`24\pi=(x)/(360^\circ)\pi (144)`

`(24\pi)/(144\pi)=(x)/(360^\circ)`

`(1)/(6)=(x)/(360^\circ)`

Multiply both sides by 360 degrees.

`(1)/(6)* 360^\circ=x`

`60^\circ=x`

The value of x is 60 degrees.

Therefore, the correct option is A.