There are two key pieces of information we will need to solve this problem: the area of the section of the circle and the area of the triangle.
First, let's find the area of the section/part of the circle. We can do this by only finding 1/4 (90/360) of the area of the given circle.
1/4 x pi x 6^2
1/4 x pi x 36
Area of 1/4 of circle = 9pi ft^2
Second, let's find the area of the triangle.
1/2 x 6 x 6
3 x 6
Area of triangle = 18 ft^2
Next, let's find the area of one shaded section by subtracting the area of the triangle from the area of the section.
9pi - 18
Finally, to find the area of both shaded sections we'll need to double the answer from the previous step.
2(9pi - 18)
18pi - 36 = 20.549 (rounded to 3 decimal places)
Answer: [ 18pi - 36 ft^2 ] or [ 20.549 ft^2 ]
Hope this helps!