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JEE Math Practice Question

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

  1. A.$${a \over 4}\cot \left( {{\pi \over {2n}}} \right)$$
  2. B.$$a\cot \left( {{\pi \over {n}}} \right)$$
  3. C.$${a \over 2}\cot \left( {{\pi \over {2n}}} \right)$$
  4. D.$$a\cot \left( {{\pi \over {2n}}} \right)$$

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