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

Question

asked Jun 23, 2021 113k views

2 Answers

Winterized · Answer 1 · 2021-06-28T04:44:03+0000

Answer:

The area of a sector is
$A=299.98 \:mm^2$ .

Explanation:

A sector is like a slice of the circle. It consists of a region bounded by two radii and an arc lying between the radii.

The area of a sector is a fraction of the area of the circle.

The graph below gives you the formula for the area of sector.

We know that the radius is
r=25 and the central angle is
$\theta=50 ^o$ .

So, the area of the sector is

$A=(55)/(360)\pi \left(25\right)^2=(6875\pi )/(72)\approx299.98 \:mm^2$