Question

a metal wire, when bent in the form of a square of largest area, enclosees an area of 576 cm2 . find the length of wire . if the same wire is bent to a largest circle, find radius of thw circle formed:

next area of the circle.

Answer 1

$x = \sqrt{576} = 24$
$r = \frac{24}{2\pi} = \frac{12}{\pi}$
$\pi {r}^{2} = \frac{\pi \times 12 \times 12}{ {\pi}^{2} }$
$\frac{ 504}{11} = 45.818181.....$