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Regular Polygon Area Demonstration

Regular Polygon Area Demonstration
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2019-04-23 03:41
PolygonTrigonometryGeometric Construction
This example demonstrates how to calculate the area of a regular polygon using its perimeter and apothem. It involves core math concepts like properties of regular polygons, perimeter, apothem, and trigonometric applications. Constructed using GeoGebra commands such as Point, Segment, Polygon, Centroid, OrthogonalLine, Intersect. Suitable for high school mathematics teaching or student exploration of geometric problems.

GeoGebra Commands & Parameters

  1. Point(Circle[(0, 0), side]) → B
  2. Segment((0, 0), B) → c
  3. Polygon((0, 0), B, Num_{sides}) → poly1, a, Solution, A, C, D, G, H, I, J, K, b, d, e, f, h, j, k, l
  4. Centroid(poly1) → E
  5. OrthogonalLine(E, c) → g
  6. Intersect(g, c) → F
  7. Segment(E, F) → apothemVal
  8. Segment(E, O) → i