Question

a steel wire when bent in the form of a square encloses an area of 121cm2. the same wire
is bent in the form of a circle. find the area of the circle.​

Answer 1

Already given in the question that wire is bent and made a square of  area

121 cm

side  of square =$\sqrt{area}$

                         $\sqrt{121}\\=11cm$

perimeter of square=

$4\times side\\=4\times 11\\=44cm$

hence this means that length of wire is 44 cm

hence circumference of the circle is = length of wire

it is nothing but =44 cm

let us assume radius of circle = r cm

hence

$2\pi r =44\\2\times \frac{22}{7} \times r =44\\r =7 cm$

hence area of circle =$\pi \times r^{2}$

$\pi\times r^{2}$

$\frac{22}{7}\times 49\\=154cm^{2}$