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Measuring the Circumference

Measuring the Circumference
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2020-04-23 03:47
CircleTransformationGeometric Construction
In collections Circles
This example demonstrates how to measure the circumference of a circle by rolling it. Key mathematical concepts include the properties of circles and geometric construction. GeoGebra commands used include Point, Segment, Circle, Rotate, CircleArc, etc. Suitable for middle school and above students to learn the method of measuring the circumference of a circle.

GeoGebra Commands & Parameters

  1. Point(b) → B
  2. Point(b) → A
  3. Segment(A, B) → c
  4. Midpoint(C, D) → E
  5. Circle(E, C) → d
  6. Rotate(C, 360° - (360° * RollTheCircle), E) → C'
  7. Angle(C, E, C') → α
  8. CircleArc(E, C, C') → e
  9. Segment(A, C) → f
  10. Midpoint(A, B) → F
  11. Circle(F, B) → g
  12. Line(C', E) → h
  13. Intersect(d, h, 2) → G
  14. Segment(G, C') → i
  15. Segment(K, H) → j
  16. Segment(H, I) → k
  17. Segment(I, J) → l
  18. Segment(J, L) → m
  19. Segment(M, N) → a