Question

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

Answer 1

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:

$\text{ Area = }\frac{\pi D^2}{4}$

Where,

D = diameter

We get,

$\text{ Area = }\frac{\pi D^2}{4}$$\text{= }\frac{\pi(9)^2}{4}$$\text{= }\frac{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.