Question

The circumference of a circle with an area of 1,809.56 square centimeters

Answer 1

$\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ ------\\ A=1809.56 \end{cases}\implies 1809.56=\pi r^2 \\\\\\ \cfrac{1809.56}{\pi }=r^2\implies \boxed{\sqrt{\cfrac{1809.56}{\pi }}=r}\\\\ -------------------------------\\\\ \textit{circumference of a circle}\\\\ C=2\pi r\qquad \qquad \implies C=2\pi \left( \boxed{\sqrt{\cfrac{1809.56}{\pi }}} \right)$