Question 56
A circle and a square have same area. The ratio of the side of the square to the radius of the circle will be:
Solution
Let side of square = $$s$$ and radius of circle = $$r$$
Also, area of square = area of circle
=> $$(s)^2=\pi r^2$$
=> $$\frac{s^2}{r^2}=\pi$$
=> $$\frac{s}{r}=\sqrt{\pi}$$
$$\therefore$$ Ratio of the side of the square to the radius of the circle = $$\sqrt{\pi}:1$$
=> Ans - (A)
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