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Flag Perimeter and Area by Casey Hawthorne

Flag Perimeter and Area by Casey Hawthorne
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2015-07-29 05:33
CirclePolygonGeometric Construction
This example demonstrates how to calculate the perimeter and area of a flag using geometric construction methods. Key mathematical concepts include perimeter, area, and properties of polygons. Using GeoGebra commands such as Segment, LineBisector, and Intersect, the shape of the flag is constructed, and its perimeter and area are calculated. Suitable for middle school and above students to learn geometric construction and related 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