Question

The shaded sector above covers 1/3 of the circle. If the radius of the circle above is 3 cm, what is the area of the sector in terms of ?

Answer 1

Given:

The shaded sector above covers
`(1)/(3)` of the circle.

Radius of the circle = 3 cm

To find:

The area of the sector in terms of π.

Solution:

The area of a circle is

`A=\pi r^2`

Substituting
`r=3`, we get

`A=\pi (3)^2`

`A=9\pi`

It is given that the shaded sector above covers
`(1)/(3)` of the circle.

The area of shaded sector
`=(1)/(3)A`

`=(1)/(3)(9\pi)`

`=3\pi`

Therefore, the area of shaded sector is 3π sq. cm.