Question

The area of a circle is 49π m². What is the circumference, in meters? Express your answer in terms of π.

Answer 1

`\textit{area of a circle}\\\\ A=\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=49\pi \end{cases}\implies 49\pi =\pi r^2\implies \cfrac{49\pi }{\pi }=r^2 \\\\\\ 49=r^2\implies √(49)=r\implies 7=r \\\\[-0.35em] ~\dotfill\\\\ \textit{circumference of a circle}\\\\ C=2\pi r\hspace{5em}C=2\pi (7)\implies C=14\pi`