Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A regular hexagon & a regular dodecagon are inscribed in the same circle. If the side of the dodecagon is 
, if the side of the hexagon is 
, then find value of k.
Text Solution
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Sol.
For dodecagon ∠ A 'OB' = 
= 30°
⇒ ∠ OA 'B' = ∠ OB 'A' = 75° ⇒ 
= 
⇒ R = 
⇒ R = 
For hexagon ∠ AOB = 
= 60°
⇒ Δ AOB is equilatecal ⇒ AB = R = 
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