Question

Find the area of a sector

from a circle with a radius
of 6 ft. and a central angle
of 90°

Answer 1

The area of the sector
`=28.26feet^2`

Explanation:

The area of the sector=
`(\beta )/(360)*\pi *r^2`

Given:

`\beta =90\\r=6feet`

Putting the values in the formula:

Area of the sector:

`=(90)/(360)*3.14*6*6`

`=(90)/(360) *3.14*36`

`=(1)/(4)*3.14*36`

`=3.14*9`

`=28.26feet^2`

The area of the sector
`=28.26feet^2`