Step-by-step explanation:
First of all we need to know the formula for the circumference which is: [tex]c=2\pi r[/tex]
We don't have the radius. What we only have is the area; therefore, we must use the area formula and extract the radius from it.
The formula for the area is: [tex]A=\pi r^2[/tex] Solve for r;
[tex]r^2=\frac{A}{\pi}\\ r=\sqrt[]{\frac{A}{\pi} }[/tex]
[tex]r=\sqrt[]{\frac{50.24inch^2}{3.14} }[/tex]
[tex]r=\sqrt[]{16inch^2}\\ r=4inch[/tex]
Now that we've found the radius, we simply plug it into the circumference formula.
[tex]C=2\pi r\\C=2(3.14)(4)\\C=25.12inch[/tex]
