Apothem vs Area of Regular Hexagon

① This example demonstrates the functional relationship between the apothem length and the area of a regular hexagon. ② Core math concepts: apothem of a regular polygon, area formula, function modeling, and scatter‑plot fitting. ③ Construction highlights: Polygon creates the hexagon; Segment, Intersect, Midpoint, and Angle commands build the apothem, vertices, midpoints, and angles, producing objects A, B, poly1, b, a, c, d, e, f, C, D, E, F, g, h, i, G, H, j, P, α, text1. ④ Suitable for middle‑school geometry and function lessons, high‑school analytic geometry review, and teacher demonstrations linking geometric construction with function modeling.