Ferris Wheel and Trigonometry

GeoGebra Commands & Parameters

1. Circle(C, 50) → c
2. Segment(C, G1) → a
3. Segment(C, G2) → b
4. Rotate(Zero, α, C) → Zero'
5. Angle(Zero, C, Zero') → β
6. Segment(C, Zero') → d
7. Rotate(Zero, 30° + α, C) → Zero'_1
8. Angle(Zero, C, Zero'_1) → γ
9. Segment(C, Zero'_1) → e
10. Rotate(Zero, 60° + α, C) → Zero'_2
11. Angle(Zero, C, Zero'_2) → δ
12. Segment(C, Zero'_2) → f
13. Rotate(Zero, 90° + α, C) → Zero'_3
14. Angle(Zero, C, Zero'_3) → ε
15. Segment(Zero'_3, C) → g
16. Rotate(Zero, 120° + α, C) → Zero'_4
17. Angle(Zero, C, Zero'_4) → ζ
18. Segment(Zero'_4, C) → h
19. Rotate(Zero, 150° + α, C) → Zero'_5
20. Angle(Zero, C, Zero'_5) → η
21. Segment(Zero'_5, C) → i
22. Rotate(Zero, 180° + α, C) → Zero'_6
23. Angle(Zero, C, Zero'_6) → θ
24. Segment(Zero'_6, C) → j
25. Rotate(Zero, 210° + α, C) → Zero'_7
26. Angle(Zero, C, Zero'_7) → ι
27. Segment(Zero'_7, C) → k
28. Rotate(Zero, 240° + α, C) → Zero'_8
29. Angle(Zero, C, Zero'_8) → κ
30. Segment(Zero'_8, C) → l
31. Rotate(Zero, 270° + α, C) → Zero'_9
32. Angle(Zero, C, Zero'_9) → λ
33. Segment(Zero'_9, C) → m
34. Rotate(Zero, 300° + α, C) → Zero'_{10}
35. Angle(Zero, C, Zero'_{10}) → μ
36. Segment(Zero'_{10}, C) → n
37. Rotate(Zero, 330° + α, C) → Zero'_{11}
38. Angle(Zero, C, Zero'_{11}) → ν
39. Segment(Zero'_{11}, C) → p
40. Line(G1, G2) → q
41. OrthogonalLine(Zero', q) → r
42. Intersect(r, q) → A
43. Segment(Zero', A) → s
44. OrthogonalLine(Zero'_1, d) → t
45. Intersect(d, t) → B
46. Segment(Zero'_1, B) → a_1
47. Angle(Zero'_1, B, C) → ξ
48. Angle(B, C, Zero'_1) → ο
49. OrthogonalLine(Zero'_2, d) → b_1
50. Intersect(b_1, d) → D
51. Segment(Zero'_2, D) → c_1
52. Distance(D, C) → distanceDC
53. Angle(D, C, Zero'_2) → ρ
54. Angle(Zero'_2, D, C) → σ