Answer :
Given:
a.) A rug with a diameter of 9 ft.
Since the rug appears to be a circle, we will be using the following formula:
[tex]\text{ Area = }\frac{\pi D^2}{4}[/tex]Where,
D = diameter
We get,
[tex]\text{ Area = }\frac{\pi D^2}{4}[/tex][tex]\text{= }\frac{\pi(9)^2}{4}[/tex][tex]\text{= }\frac{81(3.14)}{4}[/tex][tex]\text{ Area = }63.585\text{ }\approx63.59ft.^2[/tex]Therefore, the rug will cover 63.59 ft.^2 of the floor area. The answer is letter C.