Cone Net Construction by Terry Lee Lindenmuth

Cone Net Construction by Terry Lee Lindenmuth
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2015-12-05 21:43
This example demonstrates the process of constructing a cone's lateral surface net and calculating its area. It involves core math concepts like cone surface area, circles, straight lines, geometric construction, and coordinate geometry. The construction uses commands such as Segment, Circle, Point, CircleArc, Length, and PointIn to draw the base and lateral surface of the cone, and then to derive the net. Suitable for high school students learning solid geometry, geometric constructions, and cone-related calculations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(C, a) → c
  3. Point(c) → D
  4. Point(c) → E
  5. CircleArc(C, D, E) → d
  6. Segment(D, C) → b
  7. Segment(E, C) → e
  8. Length(d) → f
  9. PointIn(d) → Pointd
  10. Circle(F, r) → g