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

Question

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