Question

The area of a circle is 49 pi. find, in terms of pi, the circumference of the circle.

Answer 1

`\bf \textit{area of a circle}\\\\ A=\pi r^2\qquad A=49\implies 49=\pi r^2 \\\\\\ \sqrt{\cfrac{49}{\pi }}=r\implies \cfrac{7}{√(\pi )}=\boxed{r}\\\\ -----------------------------\\\\ \textit{circumference of a circle}\\\\ C=2\pi r\implies C=2\pi \left( \boxed{\cfrac{7}{√(\pi )}} \right)`

simplify, if you need to

Answer 2

To find the circumference of a circle, use the formula C=2pi*r.
C= 2pi*r, r=7:
C=2 * pi * 7
C= 14pi