Question

Find the circumference of a circle whose area is 24 ft2

Answer 1

Answer:
`17.33ft`

Explanation:

We need to go from area to radius to circumference.

Formula for the area:

`A=\pi r^2`

Solve for r;

Divide by pi

`r^2=(A)/(\pi)`

Extract the square root.

`r=\sqrt{(A)/(\pi) }`

Plug in the value of the area.

`r=\sqrt{(24ft^2)/(3.14) } \\r=2.76ft`

Now that you've found the radius, use the circumference formula to calculate it.

`C=2\pi r\\C=2(3.14)(2.76ft)\\C=17.33ft`