Question

Can someone please help me with this?

Answer 1

36
`\pi` square units

Explanation:

The formula for the circumference of a circle is C = 2
`\pi`r.

If the circumference is 12
`\pi`, then that means:

12
`\pi` = 2
`\pi`r

After diving both sides by 2
`\pi`, you get 6 = r, meaning our radius is r.

The formula for the area of a circle is A =
`\pi r^(2)`.

As we've now found the radius to be 6, the area is equal to:

A =
`\pi (6)^(2)`

After squaring 6, we get:

A =
`36\pi`

Therefore, the area of a circle that has a circumference of
`12\pi` is
`36\pi` square units.