question_answer

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

A)  There is a regular polygon with \[\frac{r}{R}=\frac{1}{2}\]

B)  There is a regular polygon with \[\frac{r}{R}=\frac{1}{\sqrt{2}}\]

C)  There is a regular polygon with \[\frac{r}{R}=\frac{2}{3}\]

D)  There is a regular polygon with \[\frac{r}{R}=\frac{\sqrt{3}}{2}\]