Question

Find the circumference of a circle whose area is 24 ft2

Answer 1

Answer: $17.33ft$

Step-by-step 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

$r^2=\frac{A}{\pi}$

Extract the square root.

$r=\sqrt{\frac{A}{\pi} }$

Plug in the value of the area.

$r=\sqrt{\frac{24ft^2}{3.14} } \\r=2.76ft$

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

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