We have that the radius of the circle is equal to 25 ft, and we have two other sectors that measure 26 + 90 = 116.
The total circle is equal to 360 degrees, then the remaining is equal to 360 - 116 = 244 degrees.
Then, both blue sectors represent 244 degrees.
To find the area of both sectors, we can proceed as follows:
[tex]A_{\text{sector}}=\frac{n}{360}\cdot\pi\cdot r^2[/tex]
We have:
r = 25 ft
n = 244
Then, we have:
[tex]A_{\text{bothsectors}}=\frac{244}{360}\cdot\pi\cdot(25ft)^2=423.611111111\pi ft^2\approx1330.81355465ft^2[/tex]
Therefore, the shaded area is about 1330.81 square feet.
