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Binomial Theorem

Question

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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 r/R = 1/2

there is a regular polygon with $straight r over straight R space equals space fraction numerator 1 over denominator square root of 2 end fraction$

there is a regular polygon with r/R = 2/3

there is a regular polygon with $straight r over straight R space space equals space fraction numerator square root of 3 over denominator 2 end fraction$

Solution

C.

there is a regular polygon with r/R = 2/3

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