For a regular polygon, let r and R be the radii of the inscribed and the circumscribed…
Mathematics · JEE Main · NTA Exams — Trigonometry
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 \(\frac{r}{R}=\frac{1}{\sqrt{2}}\)
- there is a regular polygon with \(\frac{r}{R}=\frac{2}{3}\)
- there is a regular polygon with \(\frac{r}{R}=\frac{\sqrt{3}}{2}\)
Answer
(C) there is a regular polygon with r R = 2 3
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