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Regular Polygons: Perimeter & Area

Regular Polygons: Perimeter & Area
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2016-06-24 09:50
PolygonSequenceCoordinate Geometry
In collections Perimeter & Area Perimeter & Area
This example demonstrates the construction of regular polygons and the calculation of their perimeter and area. Key math concepts include polygons, perimeter, area, sequences, and coordinate geometry. It uses GeoGebra commands like Sequence, Polygon, and Center. Suitable for middle school and above mathematics education or self-learning to understand the geometric properties and calculations of regular polygons.

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