If the diameter is 26, the radius is 26/2 = 13
The area of a circle is (pi)(radius)^2 = 3.14(13)^2 = 3.14(169) = 530.66
A complete circle has 360 degrees
Half a circle is 180 degrees
So the shaded area is (360 - 180 - 120)/360 of the complete circle
Doing the operations: (360 - 180 - 120)/360 = 60/360 = 1/6 of the complete circle
If the complete circle area is 530.66, the shaded area is (1/6)(530.66) = 88.443
They ask for the result to be rounded to the nearest tenth, so the result would be 88.4
Answer: 88.4