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

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

3 0

The area of the sector is 86.81π mm²

<u>Explanation:</u>

Given:

Radius of the sector, 25mm

Angle, α = 50°

Area of the sector, A = ?

We know:

Area of the sector = $\frac{\alpha }{360} X \pi r^2$

On substituting the value, we get:

$A = \frac{50}{360} X \pi X (25)^2\\\\A = 86.81 \pi mm^2$

Therefore, the area of the sector is 86.81π mm²

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