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Central Angle of Regular Polygons

Central Angle of Regular Polygons
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2018-02-26 06:18
PolygonAngleGeometric Construction
This example demonstrates the calculation and visualization of central angles in regular polygons. It involves core mathematical concepts such as polygons, angle measurement, and geometric construction. Key GeoGebra commands used include Sequence, Polygon, and Center. Suitable for high school mathematics education to understand the properties of regular polygons and the relationship between central angles.

GeoGebra Commands & Parameters

  1. Sequence(((r * cos(((2 * π) * i / n))), (r * sin(((2 * π) * i / n)))), i, 0, n, 1) → list1
  2. Polygon(Element[list1, 1], Element[list1, 2], n) → poly1
  3. Center(c) → A
  4. Sequence(CircleArc[A, Element[list1, i], Element[list1, i + 1]], i, 1, n, 1) → list2
  5. Sequence(Dilate[A, If[0 < a ≤ 1, 1 - a, 0], Element[list1, i]], i, 1, n, 1) → list3
  6. Sequence(Segment[A, Element[list3, i]], i, 1, n, 1) → list4