Question

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.

Answer 1

Answer:

Part A) The diameter of the rug is $10\ ft$

Part B) The radius of the rug is $r=5\ ft$

Part C) The area of the rug is $78.5\ ft^{2}$

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

$C=\pi D$

where

D is the diameter

we have

$C=31.4\ ft$

$\pi=3.14$

substitute the values and solve for D

$31.4=(3.14)D$

$D=31.4/(3.14)=10\ ft$

Part B) Find the radius of the rug

we know that

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

we have

$D=10\ ft$

$r=D/2$

substitute

$r=10/2=5\ ft$

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

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

$A=\pi r^{2}$

we have

$r=5\ ft$

$\pi=3.14$

substitute

$A=(3.14)(5)^{2}$

$A=78.5\ ft^{2}$