11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-12

  • 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 \[\frac{r}{R}=\frac{\sqrt{3}}{2}\]

    Correct Answer: D


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