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Central Angles

Central Angles
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2017-03-20 10:38
CircleAngleGeometric Construction
This example demonstrates the construction of central angles and related elements within a circle. It involves core mathematical concepts such as circles, angles, arcs, and tangents. The construction uses commands like Circle, Point, Segment, CircleArc, Angle, Line, Tangent, and Intersect in GeoGebra. Suitable for high school mathematics teaching or geometric construction practice.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Segment(C, A) → a
  4. Segment(A, B) → b
  5. CircleArc(A, C, B) → d
  6. CircleArc(A, B, C) → e
  7. Angle(B, A, C) → α
  8. Point(d) → D
  9. Segment(B, D) → f
  10. Segment(C, D) → g
  11. Angle(B, D, C) → β
  12. Point(d) → E
  13. Segment(C, E) → i
  14. Segment(B, E) → j
  15. Angle(B, E, C) → γ
  16. Line(C, A) → l
  17. Point(e) → G
  18. Segment(C, G) → n
  19. Segment(G, B) → p
  20. Angle(C, G, B) → δ
  21. Angle(G, B, D) → ε
  22. Angle(D, C, G) → ζ
  23. Tangent(C, e) → r,
  24. Tangent(B, e) → s,
  25. Intersect(s, r) → H
  26. Segment(C, H) → t
  27. Segment(H, B) → a_1
  28. Angle(C, H, B) → η
  29. Intersect(c, l) → F, I
  30. Segment(C, I) → m
  31. Point(e) → J