Question

The circumference of a circle is 16π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.

Answer 1

`64\pi`

Explanation:

The area of a circle can be found using:

`a=\pi r^(2)`

We have the circumference, but we need the radius. Circumference can be found using:

`c=2\pi r`

We know the circumference is 16
`\pi`, so we can substitute that in for c

16
`\pi` =2
`\pi` r

We need to solve for r, or the radius. To do this, divide both sides by 2
`\pi`. This will get r by itself.

16
`\pi` /2
`\pi` =2
`\pi` r/2
`\pi`

8=r

Now we know the radius, and can substitute it into the area formula

`a=\pi r^2`

Substitute 8 in for r

`a=\pi 8^2`

`a=64\pi`

This answer is expressed in terms of pi, since it includes pi in the answer. Therefore, the area, in terms of pi is
`64\pi`

Answer 2

64 pi

Explanation:

lmk if you need an explanation