How do you find the area of the shaded sector of the circle? The radius is 10in and the sector is 45 degrees

Question

asked Sep 25, 2022 27.9k views

1 Answer

Katja Braz · Answer 1 · 2022-09-30T01:35:24+0000

Given:

Radius of the circle = 10 in

Central angle of the sector = 45 degrees

To find:

The area of the sector.

Solution:

Area of a sector is

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

Where,
$\theta$ is the central angle in degrees.

Putting r=10 and
$\theta=45^\circ$ , we get

$A=(45^\circ)/(360^\circ)\pi (10)^2$

$A=(1)/(8)\pi (100)$

$A=12.5\pi$

Therefore, the area of the sector is 12.5π sq. inches.