Angle at Center and Arc Length Relationship

Angle at Center and Arc Length Relationship
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2014-02-02 23:31
This example demonstrates the relationship between the angle at the center and the corresponding arc length. Key mathematical concepts include the proportional relationship between the central angle and the arc length. Using GeoGebra commands such as Circle, Point, Segment, Angle, and CircleArc, the dynamic relationship between the central angle and the arc length can be constructed. Suitable for students at the junior high school level and above, focusing on geometry and trigonometry.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Segment(A, C) → a
  4. Point(c) → D
  5. Segment(A, D) → b
  6. Angle(C, A, D) → α
  7. CircleArc(A, C, D) → d