MathPlotAI Logo MathPlotAI

Angles in Regular Polygons

Angles in Regular Polygons
Loading the math board and drawing, please wait…
2015-01-21 19:16
PolygonAngleGeometric Construction
This example demonstrates how to calculate the angles in regular polygons. Key mathematical concepts include the interior angles of polygons. Using GeoGebra commands such as Circle, Segment, Rotate, Angle, and Polygon, you can dynamically explore the properties of polygons. Suitable for middle school and above students to learn polygon geometry.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Segment(A, B) → a
  3. Rotate(B, (360 / n)°, A) → B'
  4. Angle(B, A, B') → α
  5. Polygon(B, B', n) → poly1, b, m, p, q, C, D, E, F, G, H, I, d, J, K, L, e, f, h, i, j, k, l
  6. Segment(A, B') → g
  7. Angle(C, B', B) → β
  8. Ray(B', B) → r
  9. Midpoint(b) → M
  10. Circle(B, M) → s
  11. Intersect(s, r) → N, O
  12. Segment(B, O) → t
  13. Segment(B', C) → a_1
  14. LineBisector(b) → b_1
  15. Mirror(B', b_1) → B''
  16. Mirror(C, b_1) → C'
  17. Segment(B'', C') → d'
  18. Midpoint(d) → P
  19. Mirror(P, b_1) → P'
  20. Angle(P', B, O) → γ