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Flag Perimeter and Area

Flag Perimeter and Area
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2015-07-29 05:34
PolygonCalculusGeometric Construction
This example demonstrates how to calculate the perimeter and area of a flag using geometric construction. Key mathematical concepts include perimeter and area calculations. Using GeoGebra commands such as Segment, LineBisector, and Intersect, the shape of the flag is constructed. Suitable for middle school and above students learning geometry and area calculations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(A, C) → b
  3. Segment(B, D) → c
  4. Segment(C, D) → d
  5. LineBisector(A, C) → e
  6. Intersect(e, b) → E
  7. Intersect(c, e) → F
  8. Circle(E, f / 4) → g
  9. Intersect(g, b) → G, H
  10. Circle(F, f / 4) → h
  11. Intersect(h, c) → I, J
  12. Segment(G, I) → i
  13. Segment(H, J) → j
  14. LineBisector(C, D) → k
  15. Intersect(d, k) → K
  16. Intersect(a, k) → L
  17. Segment(G, I) → l
  18. Circle(L, f / 4) → p
  19. Circle(K, f / 4) → q
  20. Intersect(p, a) → M, N
  21. Intersect(q, d) → O, P
  22. Segment(M, O) → m
  23. Segment(P, N) → n
  24. Intersect(l, m) → Q
  25. Intersect(j, m) → R
  26. Intersect(n, j) → S
  27. Intersect(n, l) → T
  28. Polygon(G, Q, R, H, M, N, T, I, J, S, P, O) → poly1, g_1, o, r, h_1, q_1, m_1, n_1, t, i_1, j_1, s, p_1
  29. PointIn(poly1) → Pointpoly1_1
  30. Intersect(j, n) → U
  31. PointIn(poly1) → Pointpoly1
  32. Polygon(A, B, D, C) → poly2, a_1, b_1, d_1, c_1
  33. PointIn(poly2) → Pointpoly2