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`