Question

If you have a circle with a radius of 10 ft. how do you determine the area of a sector whose central angle measures 120?

Answer 1

The area of any circle is (pi) (radius)²

The area of the whole circle is (pi) (10-ft)² = 100 pi ft²

120° is 1/3 of 360° .

So the area of a 120° sector is 1/3 the area of the whole circle = (100/3) pi ft².