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Defining regular polygons - class-IX

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Multiple Choice

If $R$ is the radius of circumscribing circle of a regular polygon of $n$ sides, then $R =?$

  1. $\dfrac{a}{2} sin (\dfrac{\pi}{n})$
  2. $\dfrac{a}{2} cos (\dfrac{\pi}{n})$
  3. $\dfrac{a}{2} cosec (\dfrac{\pi}{n})$
  4. $\dfrac{a}{2} cosec (\dfrac{\pi}{2n})$
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