A sector of a circle has a central angle of 60°. find the area of the sector if the radius of the circle is 6 mi.

The entire circle has a central angle of 360°.

Because the radius is 6 mi, the area of the circle is

π (6) ² = 36π mi².

The sector has a central angle of 60°, therefore it occupies 60/360 = 1/6 of the area of the circle.

The area of the sector is

(1/6) * 36π = 6π mi² = 18.85 mi²

Answer: 6π mi² or 18.85 mi².