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Tangent at 90 degrees to radius

Tangent at 90 degrees to radius
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2017-02-28 17:00
CircleTrigonometryGeometric Construction
In collections Circle Geometry
This example demonstrates the relationship between a tangent and a radius at 90 degrees. The core mathematical concepts involved are trigonometry. Using GeoGebra commands such as Polygon, Angle, Circle, Segment, Tangent, and Point, a geometric figure is constructed to illustrate the angle relationship between the tangent and the radius. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(E_1, H_1, G_1, F_1) → poly1, e_2, h_2, g_2, f_2
  2. Angle(G_1, F_1, E_1) → λ
  3. Angle(E_1, H_1, G_1) → ξ
  4. Angle(F_1, E_1, H_1) → ο
  5. Angle(H_1, G_1, F_1) → ρ
  6. Circle(A_2, B_2) → a_2
  7. Segment(A_2, B_2) → b_2
  8. Tangent(B_2, a_2) → c_2,
  9. Point(c_2) → C_2
  10. Point(c_2) → D_2
  11. Segment(C_2, D_2) → d_2
  12. Angle(A_2, B_2, D_2) → α_1