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 ?

Question

asked Sep 5, 2022 118k views

1 Answer

Atakan Cavuslu · Answer 1 · 2022-09-10T19:04:35+0000

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.