Question

A copper wire when bent in the form of a square encloses an area of 121cm^2. If the same wire is bent in the form of circle then find the area of the circle

Answer 1

$area \: of \: square \: = {a}^{2}$
${a}^{2} = 121$
$a = \sqrt[2]{121}$
$a = 11$

$area \: of \: circle = \pi \: {r}^{2}$
$area \: of \: circle = \frac{22}{7} \times 11 \times 11$
$area \: of \: circle \: = \frac{2262}{7}$
$area \: of \: circle = 380 \times \frac{2}{7}$