A square and a circle have equal perimeters. The ratio of the area of the circle to the area of the square is
A
4π
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B
41
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C
π√2
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D
√2π
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Solution
The correct option is A4π Let the radius of the circle =r units Let the side of the square =a units Given 2pr=4a or r=4a2π=2aπ Ratio of the area of circle to the area of square =πr2a2=πa2×4a2π=4π