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Perimeter and Area by Craig Cullen

Perimeter and Area by Craig Cullen
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2015-01-28 05:11
CirclePolygonGeometric Construction
This example demonstrates how to construct and calculate the perimeter and area of various geometric shapes using GeoGebra. Core math concepts include perimeter, area, circle, polygon, similar triangles, etc. Construction highlights involve GeoGebra commands like Vector, Translate, Ray, Circle, Intersect, OrthogonalLine, Polygon, Perimeter, and PointIn. Suitable for middle school students and above for learning geometric properties and calculations, or for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Vector((0, 0), (1, 0)) → u
  2. Vector((0, 0), (0, 1)) → v
  3. Translate(A, u) → A'
  4. Translate(A, v) → A'_1
  5. Ray(A, A') → a
  6. Ray(A, A'_1) → b
  7. Circle(A, W) → g
  8. Translate(A, u) → A'_2
  9. Translate(A, v) → A'_3
  10. Ray(A, A'_2) → c
  11. Ray(A, A'_3) → d
  12. Intersect(g, c, 1) → B
  13. Circle(A, L) → h
  14. Intersect(h, d, 1) → C
  15. OrthogonalLine(B, c) → i
  16. OrthogonalLine(C, d) → j
  17. Intersect(i, j) → D
  18. Polygon(C, D, B, A) → poly1, c_1, d_1, b_1, a_1
  19. Perimeter(poly1) → perimeterpoly1
  20. PointIn(poly1) → Pointpoly1_1
  21. PointIn(poly1) → Pointpoly1