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?
Answer & explanation
Correct answer: option 3
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