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Circumference of a Circle by JimPAX

Circumference of a Circle by JimPAX
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2018-02-13 04:04
CircleFunctionGeometric Construction
This example demonstrates the circumference of a circle. Key mathematical concepts include the formula for calculating the circumference of a circle. Using GeoGebra commands such as Intersect, Function, and Circle, the construction of the circle's circumference is illustrated. Suitable for students in middle school and above to learn basic properties of 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 its center at the origin and a given radius. Place a point on the circle, and construct a tangent line at that point, which intersects the vertical axis. Draw a radius from the center to the tangent point, then rotate this radius by an angle around the center to get another radius. Connect the rotated endpoint to the tangent point to form an arc. Also, draw a segment from another intersection on the vertical axis to the tangent point, and mark a point on the radius from the center to the tangent point. Finally, show a curve representing the circumference as a function of the radius.
The prompt above was compiled from the original drawing commands and is for reference only.