What is the area of the sector that is not shaded?
a)12π units2
b)24π units2
c)120π units2
d)144π units2

Hey there! And welcome to .

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

Please comment if you have any questions!