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General
Easy

Question

The radius of the circumscribing circle of a regular polygon of n sides each of length a is -

  1. 2a cosec open parentheses fraction numerator pi over denominator n end fraction close parentheses  
  2. a cosec open parentheses fraction numerator 2 pi over denominator n end fraction close parentheses  
  3. a cosec open parentheses fraction numerator pi over denominator n end fraction close parentheses  
  4. none of these  

The correct answer is: none of these

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open parentheses fraction numerator 1 over denominator r end fraction minus fraction numerator 1 over denominator r subscript 1 end subscript end fraction close parentheses open parentheses fraction numerator 1 over denominator r end fraction minus fraction numerator 1 over denominator r subscript 2 end subscript end fraction close parentheses open parentheses fraction numerator 1 over denominator r end fraction minus fraction numerator 1 over denominator r subscript 3 end subscript end fraction close parentheses=

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