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JEE Main2010MathematicsProperties of TrianglesActual

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

Options

  1. AThere is a regular polygon with r R = 1 2
  2. BThere is a regular polygon with r R = 2 3
  3. CThere is a regular polygon with r R = 3 2
  4. DThere is a regular polygon with r R = 1 2

Correct answer

B. There is a regular polygon with r R = 2 3

Step-by-step solution

r = a 2 n 'a' is side of polygon. aligned & R= a 2 cosec n & r R = n cosec n = n & n 2 3 for any n N aligned

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