Question

Eugene knows the circumference of a circle is 125.6 meters. Does he have enough information to find the area?

Answer 1

$\bf \textit{circumference of a circle}\\\\ C=2\pi r\quad \begin{cases} r=radius\\ -----\\ C=125.6 \end{cases}\implies 125.6=2\pi r\implies \cfrac{125.6}{2\pi }=\boxed{r} \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies A=\pi \left( \boxed{\cfrac{125.6}{2\pi} } \right)^2$