Question 589343
The circumference of a circle is the perimeter of the circle.

We must use the formula C = 2pir to find the radius of the circle as step one.

The circumference is given to be 16cm.

In that case, let C = 16 and solve for r. In other words, we are searching for the radius.


C = 2pir

16 = 2pir

16/2pi = r

(8/pi) = r

Now that we know the value for r (our radius), we use the formula for finding the area of the circle.

The formula for finding the area of a circle is: A = pi(r^2)

Let r = (8/pi)

A = pi(8/pi)^2

A = pi(64/(pi)^2

A = (64/pi)cm^2

Did you follow or are you still lost?