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JEE Main2003MathematicsProperties of TrianglesActual

The sum of the radii of inscribed and circumscribed circles for an n sided regular polygon of side a, is

Options

  1. Aa 4 ( 2 n )
  2. Ba ( n )
  3. Ca 2 ( 2 n )
  4. Dacot ( 2 n )

Correct answer

D. acot ( 2 n )

Step-by-step solution

( n )= a 2 r ; ( n )= a 2 R r+R= a 2 [ n + cosec n ] r+R= a 2 ( 2 n )

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