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Shazli took a wire of length $44\ cm$ and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? $(Take\ \pi=\frac{22}{7})$
Length of the wire to be bent into circle $=44\ cm$
$2\pi r=44$
$2\times\frac{22}{7}\times r=44$
$r=\frac{44\times7}{2\times22}=7cm$
Area of such circle$=\pi r^2$
$=\frac{22}{7}\times7\times7$
$=154\ cm^2$
Now , the length of the wire is bent into a square.
Here perimeter of square$=$ Circumference of line k
Length of each side of the square$= \frac{Perimeter}{4}$
$=\frac{44}{4}$
$=11\ cm$
Area of the square$=(side)^2$
$=(11)^2$
$=121\ cm^2$
Since, $154\ cm^2$>$121\ cm^2$
Thus, the circle encloses more area.
Updated on: 10-Oct-2022
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