Interior Angles of Regular Polygons by sconroy
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This GeoGebra example dynamically demonstrates how the interior angles of regular polygons change as the number of sides increases, visualizing the relationship between side count and angle measures. Core mathematical concepts include the interior angle sum formula (n-2)×180° and each interior angle measure (n-2)×180°/n for regular polygons, along with polygon properties, perimeter, and angle notation. The construction uses the Polygon command to create a regular n-gon (with slider n and base points A, B), the Angle command to mark interior angles (α, etc.), and calculates the sum of interior angles (SumLN) and perimeter (SumPP). By adjusting the slider n, learners can observe how angles and sums evolve. Suitable for middle school to high school students studying polygon angle theorems, and ideal for classroom demonstrations or exploratory activities in geometry.
GeoGebra Commands & Parameters
Polygon(A, B, n) → poly1, c, j, k, l, m, C, D, E, F, G, H, a, I, J, K, L, M, b, d, e, f, g, h, iAngle(C, B, A) → α