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Circle Angle Sum Demonstration

Circle Angle Sum Demonstration
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2015-12-10 08:49
CircleAngleGeometric Construction
In collections iShortcut Geometry Vol. 1: Lines & Angles
This example demonstrates the sum of interior angles of a cyclic polygon as the number of sides changes. Key math concepts include circle, angle, polygon, and the interior angle sum formula. Construction highlights GeoGebra commands: Intersect, Point, Circle, CircleArc, Segment, Angle. Suitable for high school mathematics teaching to visually understand the circle's angle sum theorem and polygon properties.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c_1
  4. Point(c_1) → C
  5. CircleArc(A, B, C) → d_1
  6. CircleArc(A, C, B) → e
  7. Point(d_1) → D
  8. Point(e) → E
  9. Segment(C, A) → a_1
  10. Segment(D, A) → b_1
  11. Segment(A, B) → f
  12. Segment(A, E) → g
  13. Angle(D, A, C) → a
  14. Angle(C, A, E) → c
  15. Angle(E, A, B) → d
  16. Angle(B, A, D) → b