Question

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

Answer 1

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.