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Shaded Area of Venn Diagrams

Shaded Area of Venn Diagrams
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2020-03-05 14:33
FunctionTransformationGeometric Construction
This example demonstrates the shaded area for certain combinations of sets A and B. Key mathematical concepts include set theory and geometric construction. It uses commands like Polygon, Circle, Intersect, CircleArc, Point, and Locus in GeoGebra. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c_2, d
  2. Circle(E, 2) → e
  3. Circle(F, 2) → f
  4. Intersect(a, d) → G
  5. Intersect(c_2, d) → H
  6. Polygon(G, H, I, J) → poly2, g, h, i, j
  7. Circle(E, 2) → p
  8. Circle(F, 2) → q
  9. Circle(E, 2) → r
  10. Circle(F, 2) → s
  11. Intersect(e, f, 1) → K
  12. Intersect(e, f, 2) → L
  13. CircleArc(E, L, K) → t
  14. CircleArc(F, K, L) → c
  15. Point({c, t}) → Mit1
  16. Locus(Mi1, Mit1) → loc1
  17. CircleArc(E, K, L) → c_1
  18. Point({c_1, c}) → Mit2
  19. Locus(Mi2, Mit2) → loc2
  20. CircleArc(F, L, K) → d_1
  21. Point({d_1, t}) → Mit3
  22. Locus(Mi3, Mit3) → loc4
  23. Intersect(a, d) → M
  24. Intersect(c_2, d) → N
  25. Polygon(M, N, O, P) → poly3, m_1, n_1, o_1, p_1
  26. Intersect(a, d) → Q
  27. Intersect(c_2, d) → R
  28. Intersect(b, c_2) → S
  29. Intersect(a, b) → T
  30. Polygon(Q, R, S, T) → poly4, q_1, r_1, s_1, t_1

AI Drawing Prompt Reference

Draw two intersecting circles and label their intersection. Inside one circle, draw a quadrilateral that partially covers the intersection area. Then, draw another quadrilateral outside the intersection area, partially overlapping the first one. Finally, draw two circular arcs on the boundaries of the circles, connecting their intersection points to form two closed paths.
The prompt above was compiled from the original drawing commands and is for reference only.