Question

If a wire of 440m lengh is moulded in the form of a circle and a square turn by turn,find the ration of the circle to that square ​

Answer 1

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

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