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
