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Rotated Semicircles

Rotated Semicircles
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2018-06-04 18:46
CircleTrigonometryCoordinate Geometry
This example demonstrates the geometric construction and properties of shapes formed by rotating semicircles. Key math concepts include circles, trigonometry, coordinate geometry, and geometric transformations. GeoGebra commands used are Intersect, Circle, Point, Semicircle, and Zip. Suitable for high school students learning geometric constructions, function graphs, and transformations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 5) → c
  3. Point(c) → B
  4. Semicircle(A, B) → d
  5. Zip(Rotate[d, n°, A], n, list1) → L_1