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Circle and Tangent

Circle and Tangent
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2020-04-25 18:23
CircleCoordinate GeometryGeometric Construction
This example demonstrates the geometric relationship between a circle's radius and its tangent line. Key math concepts include circle definition, tangent properties, and slope calculation. GeoGebra commands and objects used are Circle, Point, Segment, Tangent, and Slope for construction. Suitable for high school mathematics teaching to understand the interaction between circles and tangents in analytical geometry.

GeoGebra Commands & Parameters

  1. Circle((h, k), r) → d
  2. Point(eq1) → B
  3. Segment(A, B) → f
  4. Tangent(B, eq1) → g,
  5. Slope(f) → m_{radius}
  6. Slope(g) → m_{tangent}