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The area of a square is the same as the area of a circle. Their perimeters are in the ratio
Let the length of the side of the square be a
Let the radius if circle be r
Area of a square = a2
Area of circle = πr2
Area of a square = Area of a circle
a2 = πr2
a = √π × r
Perimeter of circle = 2πr
Perimeter of square = 4a
= 4√π r
Ratio of perimeter of circle and square = √π : 2