Question

A copper wire bent of a square encloses an area of 272.25 if the same wire is bent into the form of circle what will be the area enclosed by wire

Answer 1

as the wire is same so, the perimeter of  wire bent in square shape and circular shape will be equal.

so,

$a^2 =272.25$

$a=16.5 unit$

$2\pi r = 4*16.5=66$

$r= \frac{66}{2\pi} =10.504 unit$

Area enclosed $= \pi r^{2} = \pi* 10.504^{2} =346.64sq. unit$