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Regular Polygon Area Formulas Demo

Regular Polygon Area Formulas Demo
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2016-03-03 04:42
PolygonTrigonometryGeometric ConstructionSlider Animation
In collections Geometry-Volume and Surface Area
This example demonstrates the calculation of regular polygon area using different formulas. It involves core math concepts like polygon properties, central angles, side lengths, and sine functions. GeoGebra commands used include Point, Segment, Polygon, Centroid, OrthogonalLine, Intersect, and Angle for construction. Suitable for high school mathematics teaching to understand the derivation and calculation of area formulas.

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, m, n, A, C, D, G, H, I, J, b, K, M, N, 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
  9. Intersect(apothemVal, c) → L
  10. Angle(O, E, L) → α