Question

Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 56.52 inches.

What is the area of the rug? Use = 3.14.

Answer 1

Answer:

The area is

$A=254.34\ in^2$

Step-by-step explanation:

The circumference of a circle is given by a following formula:

$C = 2\pi r$

Where r is the radius of the circumference.

In this case we know that

$C = 2\pi r=56.52\ in$

We solve the equation for r

$C = 2\pi r=56.52\ in$

$2\pi r=56.52\\\\r=\frac{56.52}{2\pi}\\\\r=9\ in$

The area of a circumference is given by the following formula

$A=\pi r^2$

Now we substitute the value of r in the equation to find the area

$A=\pi (9)^2$

$A=3.14* (9)^2$

$A=254.34\ in^2$