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

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Drclaw · Answer 1 · 2023-07-12T10:34:43+0000

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.