Question

How do I find the area of a circle using circumference?

Answer 1

We know that the circumference has the following formula:

`\text{C = 2}\cdot\pi\cdot r`

and that the formula for the area of a circle is:

`A\text{ = }\pi\cdot r^2`

Therefore, by means of the circle formula we solve the radius, like this:

`\text{r = }(C)/(2\pi)`

Now, we simply replace in the area formula, as follows:

`\text{A = }\pi\cdot((C)/(2\pi))^2`

In this way, you would have the area of the circle as a function of the circumference.