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 = πr^{2}

Area of square of radius a = a^{2}

Putting value, we get

Ratio of areas

Required ratio is 14 : 11

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