Question

What is the area of the shaded sector of the circle

Answer 1

87.5π units.

Explanation:

First off, you need to find the area of the entire circle.

The formula for that is πr^2. In this case, it is π * 15^2, which is 225π.

Then, you can set up a proportion to find the area of the shaded sector.

`(x)/(140) =(225\pi )/(360)`

This means that the area of the sector over the degrees of the angle equals the area of the circle over the degrees of the circle.

That results in...

360x = 140 * 225π

360x = 31500π

36x = 3150π

x = 87.5π

And that's your area!

Hope this helps!