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Net of a Cone by Ooi Soo Huat

Net of a Cone by Ooi Soo Huat
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2017-12-22 22:00
CircleSolid GeometryGeometric Construction
In collections Mathematics Form 2
This example demonstrates the creation and calculation of the lateral surface of a cone (a sector). It involves core math concepts like circles, solid geometry, geometric construction, rotation, and unfolding. GeoGebra commands and objects used include If, Point, Line, Distance, Circle, Radius, Intersect, Center, Vector, Translate, Rotate, Arc, Surface, Segment. Suitable for high school solid geometry teaching and geometric construction practice, helping to understand the relationship between cones and sectors.

GeoGebra Commands & Parameters

  1. If(o_1 ≤ 0.75, (4 / 3 * o_1^(2)), (-4 * (o_1 - 1)^(2)) + 0.9999) → ba
  2. Point(xAxis) → M_3
  3. Line(M_3, zAxis) → k_1
  4. Point(k_1) → F_1
  5. Line(M_3, xAxis) → l_1
  6. Point(l_1) → D_1
  7. Distance(F_1, D_1) → Sisi
  8. Circle(k_1, D_1) → k
  9. Radius(k) → Rb
  10. Intersect(l_1, k, 1) → I_1
  11. Center(k) → Ct
  12. Vector(Ct, Ct1) → u
  13. Vector(Ct4, Ct2) → v
  14. Translate(Ct4, Vector[(b * v)]) → L_1
  15. Distance(Mc, L_1) → Rc
  16. Line(I_1, yAxis) → e
  17. Line(K_1, k_1) → g_1
  18. Rotate(g_1, (((-b) * 180))°, e) → m_1
  19. Rotate(Rotate[(x(L_1), y(D_1), 0), Sudut2°, g_1], ((-((b * 180))))°, e) → O_3
  20. Rotate(O_3, Sudut1°, m_1) → G_1
  21. Rotate(Mc, ((-((b * 180))))°, e) → I_4
  22. Circle(I_4, O_3, m_1) → q_1
  23. Arc(q_1, O_3, G_1) → r_1
  24. Rotate(Rotate[CurveCartesian[t, y(L_1), ((z(K_1) - z(L_1)) / (x(K_1) - x(L_1)) * (t - x(L_1))) + z(L_1), t, x(K_1), x(L_1)], Sudut2°, g_1], ((-((b * 180))))°, e) → Ga2
  25. Surface(Ga2, Sudut1°, m_1) → MukaKon
  26. Rotate(K_1, (-(((b * 180))°)), e) → Md
  27. Segment(Md, G_1) → l
  28. Segment(Md, O_3) → p
  29. Circle(k_1, D_1) → DCircle
  30. SelectedIndex(Bahasa) → nn