Question

Find the area of circle whose circumference is same as the perimeter of a square of side 22m.

Answer 1

Dear student
$$\begin{gathered} Perimeterofsquare=Circumferenceofcircle \\ 22=2\mathrm{\pi r} \\ \Rightarrow \mathrm{\pi r}=11 \\ \Rightarrow \mathrm{r}=\frac{11}{\mathrm{\pi }} \\ \Rightarrow \mathrm{r}=\frac{11}{22}\times 7 \\ \Rightarrow \mathrm{r}=3.5\mathrm{m} \\ \mathrm{So},\mathrm{Area}\mathrm{of}\mathrm{circle}={\mathrm{\pi r}}^2=\frac{22}{7}\times 3.5\times 3.5=38.5{\mathrm{m}}^2 \end{gathered}$$
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