Question

if a wire of 440 m length is moulded in the form of circle and square turn by turn, find the ratio of the area of the circle of that square

Answer 1

Solution:-
Length of wire = 440 m
So, this will be considered as the perimeter for a square and circumference for a circle.
So, according to the question.
Circumference of circle = 2πr
440 = 2*22/7*r
44r = 440*7
r = (440*7)/44
Radius of the circle = 70 m.
Now, area of the circle = πr²
= 22/7*70*7
Area of the circle = 15400 sq m
Now, 
Perimeter of the square = 440 m
Each side of square = Perimeter/4
= 440/4
Each side of square = 110 m
Now,
Area of the square = side × side
= 110 × 110
Area of the square = 12100 sq m
Now,
Ratio of the area of the circle to that the area of the square.
= 15400 : 12100
Ratio = 14 : 11
Answer.

Answer 2

400 m is the circumference for the circle and the perimeter for the square


therefore,
circumference of a circle =2×pi×r
440 =2×22/7×r
(440×7)/(22×2) =r
70m =r

area of the circle =pi×r×r
=22/7×70×70
= 15400m square
perimeter of a square=400m
side of a square=400/4
=100m
area=100×100
=10000 m square
ratio=15400/10000 m square
= 14:11