Answer :

Given,


Radius of circle made by wire, r = 42 cm


Circumference of circle of radius r = 2πr


Circumference of circle made by wire


As, the same wire is bent to make a square the perimeter of square will be equal to circumference of circle.


Let the side of square be a.


Perimeter of square of side 'a' = 4a


We have,


4a = 264


a = 66 cm


Now,


Ratio of areas


Area of circle of radius r = πr2


Area of square of radius a = a2


Putting value, we get


Ratio of areas


Required ratio is 14 : 11


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