a regular hexagon and a regular dodecagon are inscribed in the same circle if the side of the dodecagon if (root3-1) then the side of hexagon is
Asked by gargpuneet989
9th July 2018,
7:58 PM
Answered by Expert
Answer:
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)/4
or x = 4(√3-1) / 2(√5-1)
now solve it for further simplification
Answered by Expert
12th July 2018,
10:05 AM
Rate this answer
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
You have rated this answer /10
Your answer has been posted successfully!
RELATED STUDY RESOURCES :
Browse free questions and answers by Chapters
- 1 Sequences and Series
- 2 Mathematical Reasoning
- 3 Differential Equations
- 4 Three Dimensional Geometry
- 5 Complex Numbers and Quadratic Equations
- 6 Permutations and Combinations
- 7 Matrices and Determinants
- 8 Vector Algebra
- 9 Trigonometry
- 10 Integral Calculus
- 11 Sets, Relations and Functions
- 12 Limit, Continuity and Differentiability
- 13 Statistics and Probability
- 14 Co-ordinate Geometry
- 15 Mathematical Induction
- 16 Binomial Theorem and its Simple Applications
Trending Tags
Latest Questions
JEE Main Mathematics
Asked by amaladelsingh
28th October 2020,
10:24 PM
CBSE X Biology
Asked by reenacharan2008
28th October 2020,
9:11 PM
