Question 58
A square has beeninscribed in a circle. What is the ratio of the length of a side of the square to the radius of the circle?
Solution
Let the side of square be x
Diagonal of square = diameter of circle = $$d^2=2\ x^2$$
d=$$\sqrt{\ 2}x$$ and r= $$\frac{x}{\sqrt{\ 2}}$$
Required ratio = x : $$\frac{x}{\sqrt{\ 2}}$$ = $$\sqrt{\ 2}:1$$
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