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Area of Rectangle, Triangle, Trapezium and Sector

Area of Rectangle, Triangle, Trapezium and Sector
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2017-05-07 08:03
CirclePolygonAngleVectorGeometric Construction
This example demonstrates how to calculate the area of a rectangle, triangle, trapezium, and sector using GeoGebra. Key mathematical concepts include the area calculation of geometric shapes and properties of circles. Using GeoGebra commands such as Random, Segment, Line, Circle, etc., dynamic construction of these shapes and their area calculations are shown. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Random(14, 22) → l
  2. Random(0, 20) → e
  3. Random(-2, 8) → d
  4. Random(8, 13) → c
  5. Random(0, 5) → b
  6. Random(0, 5) → a
  7. Segment(A, B) → f
  8. Line(D, f) → p
  9. OrthogonalLine(B, p) → s
  10. Intersect(p, s) → G
  11. OrthogonalLine(A, p) → r
  12. Intersect(p, r) → E
  13. Circle(E, G) → q
  14. Point(q) → secpoint1
  15. Midpoint(A, B) → C
  16. Polygon(A, D, B) → poly1, b_1, a_1, d_1
  17. OrthogonalLine(D, f) → g
  18. Line(A, B) → h
  19. OrthogonalLine(D, h) → i
  20. Intersect(h, i) → F
  21. Segment(D, F) → j
  22. Segment(A, F) → k
  23. PointIn(poly1) → Pointpoly1
  24. Textfield(area) → InputBox1
  25. Random(1, 14) → A16
  26. Cell(2, A16) → B16
  27. Polygon(A, E, G, B) → poly2, a_2, e_1, g_1, b_2
  28. PointIn(poly2) → Pointpoly2_1
  29. PointIn(poly2) → Pointpoly2
  30. Textfield(v) → InputBox2
  31. Distance(E, G) → w
  32. Vector(E, G) → u_1
  33. PointIn(q) → Pointq
  34. Segment(secpoint1, E) → leg1
  35. Rotate(secpoint1, randomangle, E) → secpoint2
  36. Segment(secpoint2, E) → leg2
  37. CircleArc(E, secpoint1, secpoint2) → sectorarc
  38. Angle(secpoint1, E, secpoint2) → sectoranglelabel
  39. Segment(TrapA, TrapB) → Trapbase
  40. Segment(TrapC, TrapB) → Trapright
  41. Line(TrapC, Trapbase) → Traptopparallel
  42. Segment(TrapD, TrapA) → Trapleft
  43. Segment(TrapD, TrapC) → traptop
  44. Midpoint(TrapA, TrapB) → trapbasemidpoint
  45. Distance(trapbasemidpoint, traptop) → distancetrapbasemidpointtraptop
  46. OrthogonalLine(trapbasemidpoint, Trapbase) → i_1
  47. Intersect(traptop, i_1) → traptopmidpoint
  48. Segment(traptopmidpoint, trapbasemidpoint) → trapperpendicularheightline
  49. Polygon(TrapA, TrapB, TrapC, TrapD) → poly3, trapa, trapb, trapc, trapd
  50. Line(G, E) → j_1
  51. Intersect(q, j_1) → H, I
  52. Segment(I, G) → diameter

AI Drawing Prompt Reference

Draw a rectangle, a triangle, a trapezium, and a sector. First, randomly generate the vertices A and B of the rectangle and draw the midpoint C of AB. Then, randomly generate the other two vertices D and E of the rectangle, connect D and F, D and G, to form a trapezium. Next, randomly generate the center E and two vertices G and H of the sector, draw the arc and angle label of the sector. Finally, randomly generate a vertex A of the rectangle, connect A and B, A and C, B and D, D and E, to form a rectangle.
The prompt above was compiled from the original drawing commands and is for reference only.