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Arc Length Proportional to Central Angle

Arc Length Proportional to Central Angle
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2015-09-22 20:49
CircleAngleGeometric Construction
This example demonstrates the relationship between arc length and central angle. Key mathematical concepts include central angles, arc lengths, and ratios. Using GeoGebra commands such as Circle, Point, Segment, Angle, etc., the construction of an arc length proportional to the central angle is shown. Suitable for high school students learning geometric construction.

GeoGebra Commands & Parameters

  1. Circle(O, B) → e
  2. Point(e) → C
  3. Segment(O, C) → c
  4. Segment(C, B) → d
  5. Segment(B, O) → a
  6. Point(e) → A
  7. Segment(O, A) → f
  8. Angle(C, O, B) → α
  9. Distance(B, C) → distanceBC
  10. CircleArc(O, C, B) → k
  11. Distance(B, C) → BC
  12. Point(e) → D
  13. Segment(O, D) → b
  14. Angle(A, O, D) → β
  15. CircleArc(O, A, D) → g
  16. Segment(A, D) → h
  17. Distance(A, D) → AD