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Properties of Triangle
Properties of Triangle
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Question

For a regular polygon, let rr and RR be the radii of the inscribed and the circumscribed circles. A falsefalse statement among the following is :

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Solution

If OO is center of polygon and ABAB is one of the side, then by figure cos⁡πn=rR\cos {\pi \over n} = {r \over R} ⇒rR=12,12,32  for \Rightarrow {r \over R} = {1 \over 2},{1 \over {\sqrt 2 }},{{\sqrt 3 } \over 2}\,\,for n=3,4,6n = 3,4,6 respectively.

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