Question

shazli took a wire of length 44 cm and bent it into the shape of a circle find the radius of the circle. also find its area . if the same wire is bent into the shape of square, what will be its length,what will be the length of each of its sides? which figure encloses more area, the circle or the square ? (take pie=22)
7

Answer 1

hey..

here is ur answer

Area of circle is greater than Area of square

Answer 2

Given:

Length of the wire = 44 cm

To Find:

Find the radius and it's area. If the same wire is bent into the shape of square, find it's length and the length of each side. Find the figure which encloses more area.

Solution:

According to the given information,

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

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

∴ $r=\frac{44 \times 7}{2 \times 22} = \boxed{7 \:cm}$

Finding the area,

Area of such circle = $\pi r^{2}$

$:\implies \frac{22}{7} \times 7 \times 7$

$:\implies \boxed{ 154 \:cm}$

Now,

If the wire is bent into a square, then the length of each side would be $=\frac{44}{4} = 11 \:cm$

Area of the square $=(11)^{2} = \boxed{121 \: cm^{2}}$

Therefore,

Circle encloses more area.