Question

The exact area of a circle is 2106.811 square miles.What is the radius?1mi

Answer 1

`r=26\text{ miles}`

Explanation:

The area of a circle is represented by the following equation:

`\begin{gathered} A_o=\pi\cdot r^2 \\ \end{gathered}`

If the exact area is 2106.811, plug it into the equation and solve for r(radius);

`\begin{gathered} 2106.811=\pi\cdot r^2 \\ r=\sqrt[]{(2106.811)/(\pi)} \\ r=25.89 \\ \text{ Rounding:} \\ r=26\text{ miles} \end{gathered}`