Angle Between Radius and Tangent is a Right Angle

Angle Between Radius and Tangent is a Right Angle
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2019-03-28 19:14
In collections Geometry workbook
This example demonstrates that the angle between a radius and a tangent at any point on a circle is always a right angle. Key mathematical concepts include the properties of circles and trigonometry. The construction involves using the Circle command to create a circle, the Segment command to create a radius, the OrthogonalLine command to create a tangent, and the Point and Angle commands to determine the angle. Suitable for students at the middle school level and above to learn about circle properties and trigonometry.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Segment(A, B) → f
  3. OrthogonalLine(B, f) → g
  4. Point(g) → C
  5. Segment(B, C) → h
  6. Angle(A, B, C) → α