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PLEASE ANSWER ASAP! THANK YOU! SUPER EASY! Mrs. Davis is planning to put a circular rug in her living room. The circumference of the rug is 31.4 ft. Use this information to answer the following questions. Use 3.14 for π. C=πD. A = π r^2.

PLEASE ANSWER ASAP THANK YOU SUPER EASY Mrs Davis is planning to put a circular rug in her living room The circumference of the rug is 314 ft Use this informati class=

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Answer:

Part A) The diameter of the rug is [tex]10\ ft[/tex]

Part B) The radius of the rug is [tex]r=5\ ft[/tex]

Part C) The area of the rug is [tex]78.5\ ft^{2}[/tex]

Step-by-step explanation:

Part A) Find the diameter of the rug

we know that

The circumference of a circle (circular rug) is equal to

[tex]C=\pi D[/tex]

where

D is the diameter

we have

[tex]C=31.4\ ft[/tex]

[tex]\pi=3.14[/tex]

substitute the values and solve for D

[tex]31.4=(3.14)D[/tex]

[tex]D=31.4/(3.14)=10\ ft[/tex]

Part B) Find the radius of the rug

we know that

The radius of a circle (circular rug) is half the diameter

we have

[tex]D=10\ ft[/tex]

[tex]r=D/2[/tex]

substitute

[tex]r=10/2=5\ ft[/tex]

part C) What is the area the rug is covering?

The area of the circle (circular rug) is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=5\ ft[/tex]

[tex]\pi=3.14[/tex]

substitute

[tex]A=(3.14)(5)^{2}[/tex]

[tex]A=78.5\ ft^{2}[/tex]

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