Question
The circumference of a circle is $264\ cm$. Find its area.
✓
Answer
Let the radius of the circle be $r cm.$
Circumference $=(2\pi\text{r})\text{cm}$
$\therefore(2\pi\text{r})=264$
$\Rightarrow\Big(2\times\frac{22}{7}\times\text{r}\Big)=264$
$\Rightarrow\text{r}=\Big(\frac{264\times7}{2\times22}\Big)=42$
$\therefore$ Area of the circle $=\pi\text{r}^2$
$=\Big(\frac{22}{7}\times42\times42\Big)\text{cm}^2$
$=5544\text{cm}^2$
Circumference $=(2\pi\text{r})\text{cm}$
$\therefore(2\pi\text{r})=264$
$\Rightarrow\Big(2\times\frac{22}{7}\times\text{r}\Big)=264$
$\Rightarrow\text{r}=\Big(\frac{264\times7}{2\times22}\Big)=42$
$\therefore$ Area of the circle $=\pi\text{r}^2$
$=\Big(\frac{22}{7}\times42\times42\Big)\text{cm}^2$
$=5544\text{cm}^2$
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