Question

What is the area of a sector that has a radius of 25 mm and has an angle measure of 50°?

A 3,120 72 π mm2
B 100π mm2
C 15 46 π mm2
D 3,125 36 π mm2

Answer 1

The area of the sector is 86.81π mm²

Step-by-step explanation:

Given:

Radius of the sector, 25mm

Angle, α = 50°

Area of the sector, A = ?

We know:

Area of the sector =
`(\alpha )/(360) X \pi r^2`

On substituting the value, we get:

`A = (50)/(360) X \pi X (25)^2\\\\A = 86.81 \pi mm^2`

Therefore, the area of the sector is 86.81π mm²