Need help please its my last question

Question

asked Mar 21, 2022 200k views

1 Answer

Migmaker · Answer 1 · 2022-03-27T20:00:45+0000

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.