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Circumference of a Circle by h.amos87

Circumference of a Circle by h.amos87
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2016-02-19 11:51
CircleFunctionGeometric Construction
This example demonstrates the calculation of a circle's circumference. Key mathematical concepts include the properties of circles and the circumference formula. Using GeoGebra commands such as Intersect, Circle, Point, Segment, etc., the relationship between the diameter, radius, and circumference of a circle can be dynamically displayed. Suitable for students at the middle school level and above to learn about geometry and circles.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, b) → B
  2. Intersect(yAxis, a) → C
  3. Circle(G, Diameter) → c
  4. Point(c) → H
  5. Point(c) → A
  6. Segment(B, A) → i
  7. Point(i) → F
  8. Segment(A, H) → e
  9. Function(f, 0, ((Diameter * 2) * 3.141592653589793)) → g
  10. OrthogonalLine(G, b) → d
  11. Rotate(A, (-j), G) → A'
  12. Segment(G, A') → r
  13. Arc(c, A, A') → h
  14. Angle(A', G, A) → α
  15. Segment(G, A) → k
  16. Point(k) → E

AI Drawing Prompt Reference

Draw a circle with center G and diameter i. Mark points A and H on the circle and connect them with segment e. Draw the circumference of the circle and represent it with function f. Draw the perpendicular line d to diameter i, rotate point A to get A', and connect G and A' with segment r. Draw the arc h from A to A' and label the central angle α. Connect G and A with segment k and mark point E on the circle.
The prompt above was compiled from the original drawing commands and is for reference only.