Question

In circle F, FG = 2 and m/GFH = 120°

Find the area of shaded sector. Express your answer as a fraction times T.

Answer 1

A =
`(4)/(3)` π

Explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² ×
`(120)/(360)` ( r is the radius of the circle )

here r = FG = 2 with central angle = 120° , then

A = π × 2² ×
`(1)/(3)`

=
`(4)/(3)` π