Question

The area of a circle is 144π in². What is the circumference, in inches? Express your answer in terms of \piπ.?

Answer 1

24π in

Explanation:

Area = π × r²

144π = π × r²

r² = 144

r = 12

Circumference = 2 π × r

= 2 × π × 12

= 24π in

Answer 2

24π inches

Explanation:

The area of a circle is denoted by:
`A=\pi r^2`, where r is the radius. Here, we know that the area is A =
`144\pi`, so we can plug this in to find r:

`A=\pi r^2`

`144\pi` =
`\pi r^2`

`r^2=144`

r = 12

The circumference is denoted by:
`C=2\pi r`, where r is the radius. We've found the radius so just plug 12 in for r:

`C=2\pi r`

`C=2\pi *12=24\pi`

Thus, the circumference is 24π inches.

Hope this helps!