Find the ratio between area of square and that of a circle, when the length of a side of square is equal to that of diameter of the circle, is?

14 : 11

If side of the square = a

Then area of the square = a²

diameter of circle = side of the square = a

radius of the circle (r) = \(\frac{a}{2}\)

area of cirlce = \(\pi \) r² = \(\frac{22}{7}\) × (\(\frac{a}{2}\))² = \(\frac{11 a^2}{14}\)

Required Ratio = a² : \(\frac{11 a^2}{14}\) = 14 : 11