QJEEM10Ma3065: JEE Main 2010 Mathematics - Class 11 JEEM10Ma3065 Solution: For a regular polygon, let r and R be the radii of the…

Question

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For a regular polygon, let

r

and

R

be the radii of the inscribed and the circumscribed circles. A

f a l s e

statement among the following is :

Accepted Answer

If

O

is center of polygon and

A B

is one of the side, then by figure

\cos \frac{π}{n} = \frac{r}{R}

\Rightarrow \frac{r}{R} = \frac{1}{2}, \frac{1}{\sqrt{2}}, \frac{\sqrt{3}}{2} f o r

n = 3, 4, 6

respectively.

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