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Unit Circle Construction - Part 1

Unit Circle Construction - Part 1
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2017-10-18 08:08
CircleAngleGeometric Construction
In collections Introduction to Radians and the Unit Circle
This example demonstrates the construction of a unit circle. Key mathematical concepts include angles, rotation, and orthogonal lines. Using GeoGebra commands such as Intersect, Segment, and Rotate, the process of generating a unit circle is clearly shown. Suitable for students at the middle school level and above for geometric construction.

GeoGebra Commands & Parameters

  1. Intersect(c, xAxis, 1) → D
  2. Intersect(xAxis, yAxis) → α
  3. Intersect(c, xAxis, 2) → A
  4. Segment(D, A) → i
  5. Rotate(A, angle, α) → B
  6. Segment(α, A) → f_1
  7. Angle(A, α, B) → β
  8. Segment(α, B) → g_1
  9. OrthogonalLine(B, i) → h
  10. Intersect(h, i) → C
  11. Segment(B, C) → g
  12. Angle(B, C, α) → γ
  13. Angle(α, B, C) → δ
  14. Segment(α, C) → f
  15. SurdText(cos(β)) → text2
  16. SurdText(sin(β)) → text3
  17. Intersect(c, yAxis, 2) → E
  18. Intersect(c, yAxis, 1) → F