Question

A wire in the form of a square of side $11cm$ is bent into a circle. Find the area of the circle.

Answer 1

Step 1:To calculate the perimeter of square/Circle

Perimeter of a square$=4\times side$

Perimeter of a square$=4\times 11=44cm$

Perimeter of a square$=$Perimeter of circle

Step 2:To calculate the radius of circle

Radius of circle$=$$\frac{\mathrm{Perimeter}\mathrm{of}\mathrm{circle}}{2\mathrm{\pi }}$

Radius of circle$=\frac{44}{2\times {\displaystyle \frac{22}{7}}}=7cm$

Step 3:To calculate the area of circle

Area of circle$=\mathrm{\pi }{\mathrm{r}}^2$

Area of circle$=\frac{22}{7}\times 7\times 7=154c{m}^2$

Hence, area of circle is $154c{m}^2$.