heyitsbrainlie heyitsbrainlie
  • 09-04-2020
  • Mathematics
contestada

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

Respuesta :

thamimspartan thamimspartan
  • 16-04-2020

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

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