If the perimeter of a square is equal to the circumference of a circle then the ratio of their areas is

Let the length of the side of the square be a


Let the radius if circle be r


Perimeter of circle = 2πr


Perimeter of square = 4a


Perimeter of circle = Perimeter of square


2πr = 4a


a = π × r/2


Area of a square = a2


Area of circle = πr2






Ratio of area of square to circle = π: 4

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