Question

Shazila took a wire of length $44cm$ 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

The circumference of the circle is given as $44cm$.

$C=2\pi r$

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

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

$r=7cm$

The area of the circle is,

$A=\pi r^2$

$=\frac{22}{7}\times {\left(7\right)}^2$

$=154c{m}^2$

The perimeter of the square is given as $44cm$. Let $a$ be the side of the aquare.

$P=4\times a$

$44=4a$

$a=11cm$

The area of the square is,

$A=a^2$

$={\left(11\right)}^2$

$=121c{m}^2$

From both the areas, it can be observed that the area of the circle is more than the area of the square.