Question

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 $\pi$ = $\frac{22}{ 7}$ )

Answer 1

Circumference = $2\pi r$ = $44$ $cm$

= $2\times \frac{22}{7}\times r=44$

$r=7\;cm$

Area = $\pi r^2$

= $\frac{22}{7}\times 7\times 7=154\;cm^2$

If the wire is bent into a square, then the length of each side would be = $\frac{44}{4}=11\; cm$
Area of square = $(11)^2$ = $121$ $cm^2$

Therefore, circle encloses more area.