The area of a circle is 616cm^2. Find its circumference.

Question

The area of a circle is $616cm^2$. Find its circumference.

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Answer

Area of the circle $=616\text{cm}^2$
$\therefore\text{Radius (r)}=\sqrt{\frac{\text{Area}}{\pi}}=\frac{616\times7}{22}$
$=\sqrt{28\times7}=\sqrt{196}=14\text{cm}$
$\therefore$ Circumference $=2\pi\text{r}=2\times\frac{22}{7}\times14\text{cm}$
$=88\text{cm}$

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