# For a regular polygon, let r and R be the radii of

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 :-

1. There is a regular polygon with $\frac{\mathrm{r}}{\mathrm{R}}=\frac{1}{2}$

2. There is a regular polygon with $\frac{\mathrm{r}}{\mathrm{R}}=\frac{1}{\sqrt{2}}$

3. There is a regular polygon with $\frac{r}{R}=\frac{2}{3}$

4. There is a regular polygon with $\frac{\mathrm{r}}{\mathrm{R}}=\frac{\sqrt{3}}{2}$

Correct Option: , 3

Solution: