The circumference of a circle is 35.2m. Find its area. - Vidyadip

Question

The circumference of a circle is $35.2m.$ Find its area.

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Answer

Let the radius of the circle be $r m$.
Then, its circumference will be $(2\pi\text{r})\text{m}$
$\therefore(2\pi\text{r})=35.2$
$\Rightarrow\Big(2\times\frac{22}{7}\times\text{r}\Big)=35.2$
$\Rightarrow\text{r}=\Big(\frac{35.2\times7}{2\times22}\Big)=5.6$
$\therefore$ Area of the circle $=\pi\text{r}^2$
$=\Big(\frac{22}{7}\times5.6\times5.6\Big)\text{m}^2=98.56\text{m}^2$

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