Question

A wireis in the form of square with 22 cm as a side . It is reshaped into a circle ,calculate its area

Answer 1

As wire forms a square of side 22 cm
therefore it's perimeter is = 4*(length of side)

perimeter of square =4*22 cm= 88cm

Now, it shapes into a circle ,then it's perimeter will become circumference of circle.

circumference =2*π*r=88 cm
from above r (radius of circle)=44/π cm

And, area of circle is =
$\pi \times {r}^{2}$
therefore area= π*(44÷π)*(44÷π)
=
$616.25 \: {cm}^{2}$