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```
A regular hexagon \$ a regular dodecagon are inscribed in the same circle.if the side of the dodecagon is (under root 2-1),then the side of the hexagon is?
A regular hexagon \$ a regular dodecagon are inscribed in the same circle.if the side of the dodecagon is (under root 2-1),then the side of the hexagon is?

```
2 years ago

Arun
25768 Points
```							For dodecagon sin(2π/40) = (a/2)/r     so    r = (a/2)/ sin(π/20)now for hexagon sin(2π/12) = (x/2)/r       so x/2 = r sin(π/6)  =  (a/2) sin(π/6)/ sin(π/20)  so  x  = (√3-1) (1/2) / ((√5-1)/4)                      here sin(π/20) = (√5-1)/4or x = 4(√3-1) / 2(√5-1) now solve it for further simplification
```
2 years ago
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### Course Features

• 31 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions