First you need to find the area of the circle, which is πr^2 With a radius of 8 inches, the area of the circle will be π*8^2 or 64π. Next you want to find the area of the 120 degree section of that circle. 120 degrees is 1/3 of a circle, so all you have to do next is multiply the are of the circle by 1/3 (because 360/120= 1/3). (1/3)(64π) --> All you really have to do here is multiply 64 by 1/3 or divide it by 3 (because to divide by a number is the same a multiplying by it's reciprocal) so you get (64/3)(π). 64/3 is 21 and 1/3 or 21.333..., so however you choose to write it, I will leave the answer as (64/3)π squared inches.
