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Exterior & Interior Angles of Regular Polygons

Exterior & Interior Angles of Regular Polygons
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2017-11-06 20:16
PolygonAngleGeometric Construction
In collections Geo&Alg:Area Volume Pythagorean Th.
This example demonstrates the relationships between exterior and interior angles of regular polygons. Key math concepts include the sum of interior angles formula, exterior angle theorem, and properties of regular polygons. Construction involves points (A1-A19, B1-B19, C1, D1) as per the GeoGebra commands. Suitable for high school mathematics teaching or self-study to understand angle properties of regular polygons.

GeoGebra Commands & Parameters

  1. 3
  2. A2 + 1
  3. A3 + 1
  4. A4 + 1
  5. A5 + 1
  6. A6 + 1
  7. A7 + 1
  8. A8 + 1
  9. A9 + 1
  10. A10 + 1
  11. A11 + 1
  12. A12 + 1
  13. A13 + 1
  14. A14 + 1
  15. A15 + 1
  16. A16 + 1
  17. A17 + 1
  18. A18 + 1
  19. 360 / A2
  20. 360 / A3
  21. 360 / A4
  22. 360 / A5
  23. 360 / A6
  24. 360 / A7
  25. 360 / A8
  26. 360 / A9
  27. 360 / A10
  28. 360 / A11
  29. 360 / A12
  30. 360 / A13
  31. 360 / A14
  32. 360 / A15
  33. 360 / A16
  34. 360 / A17
  35. 360 / A18
  36. 360 / A19
  37. 180 - B2
  38. 180 - B3
  39. 180 - B4
  40. 180 - B5
  41. 180 - B6
  42. 180 - B7
  43. 180 - B8
  44. 180 - B9
  45. 180 - B10
  46. 180 - B11
  47. 180 - B12
  48. 180 - B13
  49. 180 - B14
  50. 180 - B15
  51. 180 - B16
  52. 180 - B17
  53. 180 - B18
  54. 180 - B19
  55. (C2 * A2)
  56. (C3 * A3)
  57. (C4 * A4)
  58. (C5 * A5)
  59. (C6 * A6)
  60. (C7 * A7)