Question

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

Answer 1

Complete 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:

The area of the sector =
`(\pi)/(2)` square units

Explanation:

To find the area of the sector of a circle, let's use the formula:

`A = (1)/(2) r^2 \theta`

Where, A = area

r = radius = 3

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

Substituting values in the formula, we have:

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

`A = (1)/(2)*9* (1)/(9)\pi`

`A = 4.5 * (1)/(9)\pi`

`A = (\pi)/(2)`

The area of the sector =
`(\pi)/(2)` square units