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Circumference of a Circle

Circumference of a Circle
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2017-09-07 10:24
CircleTrigonometry
In collections Fundamental Terms of Euclidean Geometry
This example demonstrates how to construct the circumference of a circle using rotation and intersection. Key mathematical concepts include the properties of circles and geometric construction. It utilizes commands such as Intersect, Function, Circle, Rotate, Segment, and Arc in GeoGebra. Suitable for students at the middle school level and above to learn about circles.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, a) → C
  2. Function(f, 0, ((r_1 * 2) * 3.141592653589793)) → g
  3. Circle(G, r_1) → c
  4. OrthogonalLine(G, b) → d
  5. Point(c) → A
  6. Rotate(A, (-j), G) → A'
  7. Segment(G, A') → r
  8. Intersect(yAxis, b) → B
  9. Arc(c, A, A') → h
  10. Segment(B, A) → i
  11. Angle(A', G, A) → α
  12. Segment(G, A) → k
  13. Point(k) → E

AI Drawing Prompt Reference

Draw a circle with center G and radius r_1. Then construct its circumference using rotation and intersection. First, draw a circle c with center G and radius r_1, then draw a vertical line b and find its intersection with the circle, point A. Rotate A around G to get A', and draw a line segment r connecting G and A'. Draw another vertical line d and find its intersection with y-axis, point B. Draw a line segment i connecting B and A. Construct an arc h between A and A', and measure the angle α between A', G, and A. Draw a line segment k connecting G and A.
The prompt above was compiled from the original drawing commands and is for reference only.