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Net of a Cone by Wayne Tilllett

Net of a Cone by Wayne Tilllett
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2019-03-07 05:22
Solid GeometryGeometric ConstructionGraphing
This example demonstrates the construction and calculation of the lateral surface of a cone (a sector). Key math concepts include solid geometry, geometric construction, and sector area calculation. It utilizes GeoGebra commands and objects like Intersect, Point, Segment, Angle, and Polygon as outlined in the construction summary. Suitable for high school students learning about cone structures and surface area calculations, as well as use in math competition preparation.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Segment(A, B) → a
  4. Point(yAxis) → C
  5. Segment(A, C) → b
  6. Segment(C, B) → c
  7. Angle(B, A, C) → α
  8. Polygon(C, B, 4) → Area_3, d, e, f, g, D, E
  9. Polygon(B, A, 4) → Area_1, h, i, j, k, F, G
  10. Polygon(A, C, 4) → Area_2, l, m, n, p, H, I