Question

What is the area of a circle that has a circumference of 48 feet?

Answer 1

The area formula for a circle is

`a = \pi(r)^(2)`
when r is radius.

The circumference formula is

`c = 2(\pi)r`
Since you have the circumference, you can plug it in and solve for the circle's radius.

`48 = 2(\pi)r`

`24 = \pi(r)`

`(24)/(\pi) = r`
Now that you have r, you can plug it into the area formula and find the area.

`a = \pi( (24)/(\pi) )^(2)`

`a = (24)^(2)`

`a = 576`