Answer:
Area = 53.0 ft^2
Explanation:
The area of a circle (the whole circle) is given by:
A = pi•r^2
A = pi•9^2
= 81pi
~= 254.469
Now you don't actually want the whole circle. You have a piece shaded that is 75° out of 360°.
75/360 is 0.2083333333 (this is 20.8333% but we use the decimal version for calculations)
Area_sector is the area_circle × .208333
Area_sector = 254.469 × .208333
= 53.014
rounded to the nearest tenth
= 53.0
The area of the sector is:
A = 53.0 ft^2