Question

A circular sign is precisely designed to have an area of 50.24 square inches. What is the sign's circumference?

Answer 1

Step-by-step explanation:

First of all we need to know the formula for the circumference which is: $c=2\pi r$

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: $A=\pi r^2$ Solve for r;

$r^2=\frac{A}{\pi}\\ r=\sqrt[]{\frac{A}{\pi} }$

$r=\sqrt[]{\frac{50.24inch^2}{3.14} }$

$r=\sqrt[]{16inch^2}\\ r=4inch$

Now that we've found the radius, we simply plug it into the circumference formula.

$C=2\pi r\\C=2(3.14)(4)\\C=25.12inch$