Question

A circular plate has a circumference of 29.5 inches. What is the area of this plate

Answer 1

`\bf \textit{circumference of a circle}\\\\ C=2\pi r\quad \begin{cases} r=radius\\ -----\\ C=29.5 \end{cases}\implies 29.5=2\pi r\implies \boxed{\cfrac{29.5}{2\pi }=r} \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi \left( \boxed{(29.5)/(2\pi )} \right)^2\\\\\\ A=\pi \cdot \cfrac{29.5^2}{2^2\pi^2}\implies A=\cfrac{29.5^2}{4\pi }`