Question

Please help. I've been trying to figure this out for an hour and I still don't understand how it's 72. I feel really stupid because it's probably easy to do.

Answer 1

The area of the shaded region is 72π.

Explanation:

The radius of the circle is 24.

The angle of the shaded region is 45°.

The formula to find the Area of shaded region
`A=(N)/(360)(3.14(r^(2)))`.

where N is the angle of the shaded region and r is the radius of the circle.

`A=(45)/(360)(3.14(24^(2)))`.

`A=(1)/(8)((3.14)(24)(24))`.

A=3.14× 24×3.

A=72π.

So the area of the shaded region is 72π.