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Measuring the Unit Circle

Measuring the Unit Circle
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2018-12-20 22:21
CircleTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates how to draw and analyze the properties of a unit circle using GeoGebra, involving core math concepts like circles, unit circles, trigonometric functions, and coordinate geometry. Key GeoGebra commands/objects used include Circle, Intersect, Tangent, Point, Ray, Segment, and Polygon. Suitable for high school students learning about the geometric and algebraic properties of the unit circle.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Intersect(c, yAxis) → C, D
  3. Tangent(D, c) → f,
  4. Intersect(c, xAxis) → E, F
  5. Tangent(F, c) → g,
  6. Point(c) → G
  7. Ray(A, G) → h
  8. Intersect(g, h) → H
  9. Intersect(f, h) → I
  10. Segment(D, I) → i
  11. Segment(H, F) → j
  12. Segment(A, G) → k
  13. Polygon(A, J, L, K) → q1, a, j_1, l, k_1
  14. Segment(L, J) → m