Answer:
D. (270 pi +81radical3) m^2
Step-by-step explanation:
In order to determine the area of the shaded region, we need to
determine the area of the circle, the sector and the triangle
that is a part of the sector. Do the following steps and work:
Area of the circle:
πr² = π(18)² = 324π
Area of the sector:
(60/360) (324π) = 54π
Area of the triangle:
60/2=30
1/2 (b)(h) = 1/2 (18cos30)(18) = 81√3
Area of the shaded region:
324π - 54π + 81√3 = 270π + 18√3
The answer is D. (270π + 18√3)m²
