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N-Point Circle

N-Point Circle
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2018-12-14 08:54
CircleSequenceCoordinate GeometryGeometric Construction
In collections Star Drawings
This example demonstrates how to construct N equally spaced points on a circle's circumference to form an N-point circle. Key math concepts include circle, equal spacing, coordinate geometry, and sequence. The construction uses the Sequence and Point commands as per the GeoGebra summary. Suitable for high school mathematics, helping students understand parametric equations of a circle and geometric constructions.

GeoGebra Commands & Parameters

  1. Sequence((cos(((m * 2) * π / N)), sin(((m * 2) * π / N))), m, 1, N) → l1
  2. Point(l1) → A
  3. Point(l1) → B
  4. Point(l1) → C
  5. Point(l1) → D
  6. Point(l1) → E
  7. Point(l1) → F
  8. Point(l1) → G
  9. Point(l1) → H
  10. Point(l1) → I
  11. Point(l1) → J
  12. Point(l1) → K
  13. Point(l1) → L
  14. Point(l1) → M
  15. Point(l1) → N_2
  16. Point(l1) → O
  17. Point(l1) → P
  18. Point(l1) → Q
  19. Point(l1) → R
  20. Point(l1) → S
  21. Point(l1) → T
  22. Point(l1) → U
  23. Point(l1) → V
  24. Point(l1) → W
  25. Point(l1) → Z
  26. Point(l1) → A_1
  27. Point(l1) → B_1
  28. Point(l1) → C_1
  29. Point(l1) → D_1
  30. Point(l1) → E_1
  31. Point(l1) → F_1
  32. Point(l1) → G_1
  33. Point(l1) → H_1
  34. Point(l1) → I_1
  35. Point(l1) → J_1
  36. Point(l1) → K_1
  37. Point(l1) → L_1
  38. Point(l1) → M_1
  39. Point(l1) → N_1
  40. Point(l1) → O_1
  41. Point(l1) → P_1
  42. Point(l1) → Q_1
  43. Point(l1) → R_1
  44. Point(l1) → S_1
  45. Point(l1) → T_1
  46. Point(l1) → U_1
  47. Point(l1) → V_1