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Perimeter & Circumference 2

Perimeter & Circumference 2
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2016-04-21 08:10
CirclePolygonGeometric Construction
This example demonstrates how to calculate perimeter and circumference using geometric construction. Key mathematical concepts include the calculation of perimeter and circumference. It uses commands such as Segment, Circle, Line, Intersect, CircleArc, Point, Polygon, etc. Suitable for middle school and above students to learn geometric construction and related concepts.

GeoGebra Commands & Parameters

  1. Segment((x(F) - 2, y(F)), (x(F) + 2, y(F))) → a
  2. Segment((x(G) - 1, y(G)), (x(G) + 1, y(G))) → b
  3. Circle(F, 2) → p
  4. Circle(G, 1) → q
  5. Segment((x(F), y(F) + 2), (x(F), y(F) - 2)) → i
  6. Segment((x(G), y(G) + 1), (x(G), y(G) - 1)) → j
  7. Circle(H, 1) → r
  8. Segment((x(H) - 1, y(H)), (x(H) + 1, y(H))) → l
  9. Segment((x(H), y(H) + 1), (x(H), y(H) - 1)) → m
  10. Segment((1.508765339343849, -1.0073814239854815), (1.508765339343849, 0.9926185760145194)) → n
  11. Circle(X, 2) → c
  12. Line(X, xAxis) → s
  13. OrthogonalLine(X, s) → t
  14. Intersect(c, s, 2) → E
  15. Intersect(c, t, 2) → I
  16. CircleArc(X, E, I) → d
  17. Point(d) → Y
  18. Segment(X, Y) → n_2
  19. Semicircle((-2.4912346606561515, 1.0056283561167114), (1.508765339343849, 1.0056283561167114)) → e
  20. Semicircle((1.5087653393438476, -1.0203912040876726), (-0.4912346606561504, -1.0203912040876726)) → f
  21. Semicircle((-2.4912346606561497, 1.018638136218903), (-0.49123466065615085, 1.018638136218903)) → g
  22. Segment((-0.4912346606561513, -1.033400984189865), (-0.4912346606561513, 0.9665990158101362)) → n_1
  23. Circle(O, A) → h
  24. Circle(B, A) → c_1
  25. Sector(c_1, B, A) → d_1
  26. Sector(h, B, A) → e_1
  27. Polygon(B, C, D, J) → poly1, b_1, c_2, d_2, j_1
  28. Midpoint(D, J) → K
  29. Circle(K, D) → f_1
  30. Sector(f_1, J, D) → g_1