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Rugby Shape and Its Perimeter by spkwan

Rugby Shape and Its Perimeter by spkwan
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2019-05-13 06:02
CirclePolygonGeometric Construction
This example demonstrates the rugby shape and its perimeter calculation. Core mathematical concepts include circles, polygons, and perimeter. Using GeoGebra commands such as Point, Circle, Intersect, Rotate, etc., the rugby shape can be constructed and its perimeter 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(A, C'_1) → h
  29. Segment(D, C') → j
  30. Segment(D, C'_1) → k
  31. Angle(C'_1, A, C') → θ
  32. Angle(C', D, C'_1) → ι