Question

Marci purchased the rug shown. To the nearest hundredth, what area of floor space will the rug cover? (π = 3.14)
A) 28.26 ft2
B) 58.54 ft2
C) 63.59 ft2
D) 254.34 ft2

Answer 1

Given : Marci purchased the rug

diameter = 9 ft

π = 3.14

To Find :  what area of floor space will the rug cover

A) 28.26  ft²

B) 58.54  ft²

C) 63.59  ft²

D) 254.34  ft²

Solution:

Area of circle =  π R²

where R is radius

Radius = Diameter/2 = 9/2  feet

=> Area of  floor space rug will cover =  3.14 (9/2)²

= 3.14 x 81 / 4

= 0.785 x 81

= 63.585

= 63.59  ft²

area of floor space the rug will cover :

C) 63.59  ft²

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Answer 2

Given :- Marci purchased the rug shown. Diameter of the rug is 9 ft .

To Find :-

• To the nearest hundredth, what area of floor space will the rug cover ? (π = 3.14)

Solution :-

we know that,

• Radius = Diameter / 2 .
• Area of circle = π * (radius)²

so,

→ Radius of rug = (9/2) ft .

then,

→ Area of rug = π(r)²

→ Area of rug = 3.14 * (9/2)²

→ Area of rug = 3.14 * (81/4)

→ Area of rug = (3.14 * 81)/4

→ Area of rug = 254.34/4

→ Area of rug = 63.585 ≈ 63.59 ft². (C) (Ans.)

Therefore, the rug covers 63.59 ft² area of floor space.

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