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Minor vs. Major Arc

Minor vs. Major Arc
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2020-03-20 01:16
CircleAngleGeometric Construction
In collections Circle Terms
This example demonstrates how to distinguish between minor and major arcs on a circle. Key mathematical concepts include circle properties and angle measurement. Using GeoGebra commands such as CircleArc, Angle, and Intersect, the example dynamically illustrates the properties of arcs. Suitable for middle school and above students to learn circle geometry.

GeoGebra Commands & Parameters

  1. Circle(O, B_1) → c
  2. Point(c) → A
  3. Point(c) → B
  4. CircleArc(O, A, B) → d
  5. Line(O, B) → a
  6. Intersect(c, a, 2) → E
  7. Segment(E, B) → b
  8. CircleArc(O, B, A) → e
  9. CircleArc(O, A, B) → f
  10. CircleArc(O, B, A) → g
  11. Segment(A, O) → h
  12. Segment(O, B) → i
  13. Angle(B, O, A) → α
  14. Angle(A, O, B) → β

AI Drawing Prompt Reference

Draw a circle and select two points on it. Connect the center of the circle to one point with a line segment. Then draw two major arcs through the two points and the center. Additionally, draw a minor arc from one point through the intersection of the line segment and the circle, and label the major and minor arcs, as well as the angles formed by the points and the center.
The prompt above was compiled from the original drawing commands and is for reference only.