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 the sector is 1.57 unit square.

Explanation:

Given that,

Radius of circle, r = 3

Angle of sector,
`\theta=(\pi)/(9)\ radian`

If
`\theta` is in radian, the area of sector is given by :

`A=(1)/(2)r^2\theta\\\\A=(1)/(2)* (3)^2* (\pi)/(9)\\\\A=1.57`

So, the area of the sector is 1.57 unit square.