Remember that the area of a circle is π*radius^2 Remember that there are 360° in a circle.
The angle of the unshaded part would be 360° minus the shaded part of 60°. 360°- 60° = 300° Since the area of a circle is πr^2, and the section of the circle is 300°, or 300/360 = 5/6 or one full circle, the area of the unshaded region is (5/6)π*radius^2 = (5/6)π*12^2 = 120π units^2