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Ring and Circle

Ring and Circle
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2017-05-01 21:36
CirclePolygon
This example demonstrates the construction and properties of a circle and annulus associated with a rectangle. It involves core math concepts like area, circle, polynomial functions, ellipse, complex numbers, ratios, and median line. GeoGebra commands used include Point, Rotate, Circle, and Polygon. Suitable for high school students learning geometric constructions and related mathematical ideas.

GeoGebra Commands & Parameters

  1. Point(Ray[A, A + (1, 0)]) → B
  2. Rotate(A + (1 / 3 * (B - A)), α, A) → G
  3. Point(Ray[B + (0, Distance[A, B]), B + (0, Distance[A, B] + 1)]) → C
  4. Circle(A, B) → c
  5. Circle(A, D) → d
  6. Circle(A, C) → e
  7. Point(Ray[A + (Distance[A, C], 0), A + (Distance[A, C] + 1, 0)]) → E
  8. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1
  9. Polygon(Sequence[Rotate[A + ((1 + (phi * Mod[i, 2])) * (G - A)), ((i * 36))°, A], i, 1, 10]) → poly2
  10. Circle(A, E) → h
  11. Circle(A, F) → k