Question

A copper wire when bent in the form of a square encloses an area of 121cm square. If the same wire is bent into the form of a circle, find the area of the circle.
Please give me the solution

Answer 1

Given

Area enclosed by wire which is bent in the form of square =121cm²


And we know area of square = side x side =side²

Side²=121

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

Length of wire= perimeter of square

Perimeter of square =4 x side

=4x11

=44cm

Length of wire =44cm

Now it form circle, then

Length of wire =Circumference of the circle

$circumference \: of \: the \: circle = 2\pi \: r$

$2\pi \: r = 44$

$r = \frac{44}{2\pi}$

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

R=7cm


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


$= \frac{22}{7} \times 7 \times 7$

=22x7

=154cm²


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