Question

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

what is the area of the sector?

Answer 1

The area of sector is 1.57 m²

Step-by-step explanation:

Given:

Radius, r = 3 m

Central angle of a sector = 1/9π radians

Area of sector, A = ?

We know:

Area of sector, A =
`(1)/(2) r^2 \alpha`

where,

α is the central angle in radians

On substituting the value we get:

`A = (1)/(2) X(3)^2 X (1)/(9)X 3.14\\ \\A = 1.57 m^2`

Therefore, the area of sector is 1.57 m²