Question

To the nearest hundredth, find the area of a circle with a circumference of 69.08 feet. Use 3.14 for π

Answer 1

`\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=69.08 \end{cases}\implies 69.08=2\pi r\implies \cfrac{69.08}{2\underset{\pi }{(3.14)}}=r\implies 11=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\hspace{5em}A=\pi (11)^2\implies A=\underset{\pi }{(3.14)}(11)^2\implies A=379.94~ft^2`