MathPlotAI Logo MathPlotAI

Rugby Shape and Its Perimeter

Rugby Shape and Its Perimeter
Loading the math board and drawing, please wait…
2019-05-13 07:35
CirclePolygonGeometric Construction
This example demonstrates the rugby shape and its perimeter calculation. Key mathematical concepts include circles, isosceles triangles, and symmetry. Using GeoGebra commands such as Point, Circle, Intersect, Rotate, etc., the rugby shape is constructed and its perimeter is calculated. Suitable for middle school and above students to learn geometric construction and perimeter calculation.

GeoGebra Commands & Parameters

  1. Point(a) → A
  2. Point(a) → B
  3. Circle(A, B) → c
  4. Intersect(c, a, 2) → C
  5. Rotate(C, angC°, A) → C'
  6. Rotate(A, (180 - angC - angD)°, C') → A'
  7. Ray(C', A') → b
  8. Intersect(a, b) → F
  9. Distance(C', F) → C'F
  10. Angle(C, A, C') → α
  11. Rotate(C, ((-angC))°, A) → C'_1
  12. Angle(C, A, C'_1) → β
  13. Circle(D, E) → d
  14. Rotate(E, angD°, D) → E'
  15. Angle(E, D, E') → γ
  16. Rotate(E, ((-angD))°, D) → E'_1
  17. Angle(E, D, E'_1) → δ
  18. Angle(A, C', A') → ε
  19. Point(c) → H
  20. Rotate(H, ((2 * angC))°, A) → H'
  21. Angle(H, A, H') → ζ
  22. CircleArc(A, H, H') → e
  23. Point(d) → I
  24. Rotate(I, ((2 * angD))°, D) → I'
  25. Angle(I, D, I') → η
  26. CircleArc(D, I, I') → f
  27. Segment(A, C') → g
  28. Segment(D, C') → h