467,947 views
31 votes
31 votes
Diameter = 9 ftMarci purchased the rug shown. To the nearest hundredth, what area of floor space will the rug cover? (1 = 3.14)A)28.26 ft?B)58.54 ft?C) 63.59 ft2D)254.34 ft2

User Szymanowski
by
3.4k points

1 Answer

11 votes
11 votes

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:


\text{ Area = }(\pi D^2)/(4)

Where,

D = diameter

We get,


\text{ Area = }(\pi D^2)/(4)
\text{= }(\pi(9)^2)/(4)
\text{= }(81(3.14))/(4)
\text{ Area = }63.585\text{ }\approx63.59ft.^2

Therefore, the rug will cover 63.59 ft.^2 of the floor area. The answer is letter C.

User Gvijay
by
3.1k points