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15 Point Circle

15 Point Circle
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2017-03-09 14:49
CircleCoordinate GeometryGeometric Construction
In collections Star Drawings
This example demonstrates a circle formed by 15 points. It involves the geometric properties of circles and the relationship between points and circles. By constructing the objects listed in the construction summary, one can observe how the points are distributed on the circle. This example is suitable for high school geometry, helping students understand the properties of circles and the positional relationship between points and circles.

GeoGebra Commands & Parameters

  1. Conic c
  2. 0
  3. 24
  4. Numeric A3(48)
  5. Numeric A4(72)
  6. Numeric A5(96)
  7. Numeric A6(120)
  8. Numeric A7(144)
  9. Numeric A8(168)
  10. Numeric A9(192)
  11. Numeric A10(216)
  12. Numeric A11(240)
  13. Numeric A12(264)
  14. Numeric A13(288)
  15. Numeric A14(312)
  16. Numeric A15(336)
  17. sin(A1°)
  18. cos(A1°)
  19. sin(A2°)
  20. cos(A2°)
  21. sin(A3°)
  22. cos(A3°)
  23. sin(A4°)
  24. cos(A4°)
  25. sin(A5°)
  26. cos(A5°)
  27. sin(A6°)
  28. cos(A6°)
  29. sin(A7°)
  30. cos(A7°)
  31. sin(A8°)
  32. cos(A8°)
  33. sin(A9°)
  34. cos(A9°)
  35. sin(A10°)
  36. cos(A10°)
  37. sin(A11°)
  38. cos(A11°)
  39. sin(A12°)
  40. cos(A12°)
  41. sin(A13°)
  42. cos(A13°)
  43. sin(A14°)
  44. cos(A14°)
  45. sin(A15°)
  46. cos(A15°)
  47. (B1, C1)
  48. (B2, C2)
  49. (B3, C3)
  50. (B4, C4)
  51. (B5, C5)
  52. (B6, C6)
  53. (B7, C7)
  54. (B8, C8)
  55. (B9, C9)
  56. (B10, C10)
  57. (B11, C11)
  58. (B12, C12)
  59. (B13, C13)
  60. (B14, C14)

AI Drawing Prompt Reference

Draw a circle with 15 evenly distributed points. Start by drawing a circle, then calculate the coordinates of each point using sine and cosine functions to determine their positions, and finally mark these points on the circle.
The prompt above was compiled from the original drawing commands and is for reference only.