Question

the área of a circule is 144pi ft2, what is the circumference in Feet, exprés your answer in terms of pi

Answer 1

`C=24\pi ft`

Step-by-step explanation:

The below formula can be used to find the area of a circle;

`A=\pi* r^2`

Given A = 144 pi ft^2, let's go ahead and express the equation in terms of r;

`\begin{gathered} 144\pi=\pi* r^2 \\ r^2=(144\pi)/(\pi) \\ r=\sqrt[]{144} \\ r=12ft \end{gathered}`

The below formula can be used to find the circumference of a circle;

`C=2\pi r`

Since r = 12ft, let's go ahead and solve for C;

`\begin{gathered} C=2*\pi*12 \\ C=24\pi ft \end{gathered}`