Respuesta :

The area of the sector is 86.81π mm²

Explanation:

Given:

Radius of the sector, 25mm

Angle, α = 50°

Area of the sector, A = ?

We know:

Area of the sector = [tex]\frac{\alpha }{360} X \pi r^2[/tex]

On substituting the value, we get:

[tex]A = \frac{50}{360} X \pi X (25)^2\\\\A = 86.81 \pi mm^2[/tex]

Therefore, the area of the sector is 86.81π mm²