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

The area is

`A=254.34\ in^2`

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=(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`