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Rolling a Circle

Rolling a Circle
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2016-07-26 16:09
CircleTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates that the circumference of a unit circle is equal to 1 through its rolling motion. Key math concepts include circle circumference, unit circle, rotation, and coordinate geometry. Constructed using GeoGebra commands like Intersect, Point, Ray, Circle, Rotate, CircleArc, and Segment. Suitable for high school mathematics education to visually understand the relationship between circle circumference and rotation.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, xAxis) → A
  2. Point(yAxis) → B
  3. Ray(A, B) → a
  4. Point(a) → C
  5. Circle(O, r) → c
  6. Intersect(c, xAxis) → P,
  7. Rotate(P, (-t), O) → P'
  8. CircleArc(O, P, P') → d
  9. Point(Circle[A, s]) → D
  10. Segment(A, D) → b
  11. Circle(C, A) → e