Question

Volume & Surface Area, Area of SectorsHK = 25 ft

Answer 1

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:

`A_{\text{sector}}=(n)/(360)\cdot\pi\cdot r^2`

We have:

r = 25 ft

n = 244

Then, we have:

`A_{\text{bothsectors}}=(244)/(360)\cdot\pi\cdot(25ft)^2=423.611111111\pi ft^2\approx1330.81355465ft^2`

Therefore, the shaded area is about 1330.81 square feet.