Question

A
wire is bent to form a square of side 22cm if the same wire is bent in the form of circle find the area enclosed by it ?​

Answer 1

$\boxed{Answer}$ = 616 ${cm}^{2}$

$\large\underline\blue{Explanation}$

$\bold\green{Given}$

• Side of square(a) = 22cm

_________________________________

$\overbrace{permeter\:of\:square = 4a=88cm}$

$\overbrace{length\:of\:wire = 88 cm}$

$\overbrace{Circumference\:of\:circle = 88cm}$

(wire of length 88 cm is bent)

_________________________________

$2\pi \: r = 88 \\ \pi \: r = 44 \\ r = \frac{44 \times 7}{22} \\ r = 14cm$

$\bold{Radius\:of\:circle}$= 14cm

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

$= \frac{22}{7} \times 14 \times 14 \\ = 22 \times 28 \\ = 616 {cm}^{2}$

$\bold\pink{Area\:of\:circle}$ = $616{cm}^{2}$