Question

If the area of a circle is 113.04 sq ft, what is the diameter of that circle?

Answer 1

We have to use the formula of the area of a circle

$A=\pi(r)^2$

Where A = 113.04, let's replace this value and solve for r

$\begin{gathered} 113.04=\pi(r)^2 \\ r^2=\frac{113.04}{\pi}\approx36 \\ r=\sqrt[]{36}=6 \end{gathered}$

The radius of the circle is 6 feet long.

We know that the diameter is double the radius. So,

$d=2r=2\cdot6=12$Hence, the diameter of the circle is 12 feet.