Question: For a regular polygon, let r and R be the radii of the inscribed and the circumscribed
circles. A false statement among the following is :-
There is a regular polygon with $\frac{\mathrm{r}}{\mathrm{R}}=\frac{1}{2}$
There is a regular polygon with $\frac{\mathrm{r}}{\mathrm{R}}=\frac{1}{\sqrt{2}}$
There is a regular polygon with $\frac{r}{R}=\frac{2}{3}$
There is a regular polygon with $\frac{\mathrm{r}}{\mathrm{R}}=\frac{\sqrt{3}}{2}$
Correct Option: , 3
Solution: