Question

Mona took wire of length 22 metre and bend it into the shape of circle find the area of circle also find its radius if the same wire is banned into the shape of a square what will be the length of each of its side which figure enclose more area the circle or the square​

Answer 1

Solutions :-

Given :
Mona took wire of length 22 metre.

Circumference of circle = Length of the wire
2πr = 22 m
=> r = 22/2 × 7/22 m
=> r = 3.5 m


Find the area of circle :-

Area of circle = πr² sq. units
= 22/7 × 3.5 × 3.5 m²
= 38.5 m²


Now,
Perimeter of Square = Length of the wire
4 × side = 22
=> side = 22/4 = 5.5 m


Find the area of square :-

Area of square = (side × side) sq. units
= (5.5 × 5.5) m²
= 30.25 m²


Here,
Area of circle is greater than the area of square.


Hence,
Circle enclose more area.

Answer 2

Length of wire = 22 m

It is bent to make a circle , so

Circumference of the circle = 22

2πr = 22

$r = 22 \times \frac{7}{22} \times \frac{1}{2} = 3.5$

The required radius = 3.5 m

Area = πr² = 22/7 × 3.5 × 3.5 = 38.5 m²

Then it is bent to make a square so ,

Perimeter = 22

4× Side = 22

Side = 22/4 = 5.5 m

Area = Side × Side = 5.5 × 5.5 = 30. 25 m²

The circle encloses more area .