Question

Find the area of a circle with a circumference of 12π


Either enter an exact answer in terms of or use 3.14 and enter your answer as a decimal.

Answer 1

A=$\pi$r2

Answer 2

First you gotta remember the equation:

$Area = \pi {r}^{2}$

And also this equation to find r:

$circumfrnce = 2\pi{r}$

To find r, let's plug in whatever we know about the circumference!

$12\pi = 2\pi{r}$

We will find that r = 6. Now we can plug this into the 1st equation to find the area!

$A = \pi {(6)}^{2} = 36\pi$