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.

Step-by-step 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$A=\frac{N}{360}(3.14(r^{2}))$.

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

$A=\frac{45}{360}(3.14(24^{2}))$.

$A=\frac{1}{8}((3.14)(24)(24))$.

A=3.14× 24×3.

A=72π.

So the area of the shaded region is 72π.