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Drawing a 4-inch Circle with a 5-inch Compass

Drawing a 4-inch Circle with a 5-inch Compass
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2014-02-06 09:28
CircleCoordinate GeometryGeometric Construction
This example demonstrates how to construct a circle with a radius of 4 inches using a compass fixed at 5 inches. Key math concepts include compass and straightedge construction, geometry, and distance measurement. The construction utilizes GeoGebra commands/objects like XYZakser, Text, Sequence, Punkt3D, Polygon, Kurve3D, Segment, Length as outlined in the summary. Suitable for middle school students and beyond for learning geometric construction techniques and mathematical demonstrations.

GeoGebra Commands & Parameters

  1. XYZakser(Options) → Koordinatsystem3D
  2. Text("X", Punkt3D[{xmax + 0.2, 0, 0}, Options]) → tekst1
  3. Text("Y", Punkt3D[{0, ymax + 0.2, 0}, Options]) → tekst2
  4. Text("Z", Punkt3D[{0, 0, zmax + 0.2}, Options]) → tekst3
  5. Sequence(Punkt3D[{(t * xskala), 0, 0}, Options], t, (xmin - Mod[xmin, xskala]) / xskala + 1, (xmax - Mod[xmax, xskala]) / xskala - 1) → liste2
  6. Sequence(Punkt3D[{0, (t * yskala), 0}, Options], t, (ymin - Mod[ymin, yskala]) / yskala + 1, (ymax - Mod[ymax, yskala]) / yskala - 1) → liste3
  7. Sequence(Punkt3D[{0, 0, (t * zskala)}, Options], t, (zmin - Mod[zmin, zskala]) / zskala + 1, (zmax - Mod[zmax, zskala]) / zskala - 1) → liste4
  8. Punkt3D({-8, -6, 0}, Options) → H1
  9. Punkt3D({8, -6, 0}, Options) → H2
  10. Punkt3D({8, 6, 0}, Options) → H3
  11. Punkt3D({-8, 6, 0}, Options) → H4
  12. Polygon(H1, H2, H3, H4) → polygon1, h1, h2, h3, h4
  13. Kurve3D(((5 - transform) * sin(x + π / 4)), ((5 - transform) * cos(x + π / 4)), (0 * x), 0, (((1 + (0.25 * transform)) * 2) * π), Options) → a
  14. Punkt3D({0, 0, sqrt(25 - (5 - transform)^(2))}, Options) → C
  15. Segment(C, a(0)) → b
  16. Kurve3D((4 * cos(x)), (4 * sin(x)), (0 * x), 0, 6.283185307179586, Options) → c
  17. Segment(C, a((((1 + (0.25 * transform)) * 2) * π))) → d
  18. Sequence(Polygon[C, a(s), a(s + ((1 + (0.25 * transform)) * π / 9))], s, 0, (((1 + (0.25 * transform)) * 17) * π / 9), ((1 + (0.25 * transform)) * π / 9)) → liste1
  19. Length(liste1) → svendpeter

AI Drawing Prompt Reference

Draw a circle with a radius of 4 inches using a 5-inch compass. First, set up a coordinate system, then draw a circle centered at the origin, followed by the diameter of the circle, and finally draw tangents to form a quadrilateral.
The prompt above was compiled from the original drawing commands and is for reference only.