Question

A copper wire in the form of a circle, encloses an area of 616
cm'. If the same wire is bent to form a square, find its area.
(Use )​

Answer 1

Answer:

484cm^2

Step-by-step explanation:

$area \: of \: circle = \pi {r}^{2} \\ \pi {r}^{2} = 616 \\ {r}^{2} = \frac{616 \times 7}{22} \\ {r}^{2} = 196 \\ r = 14 \\ perimeter = 2\pi \: r \\ = \frac{2 \times 22 \times 14}{7} \\ = 88cm \\ side = \frac{88}{4} = 22\\ area \: of \: square = {a}^{2} = {22}^{2} \\ = 484 {cm}^{2}$