GEO014 · Geometry basics · Classes 6–12
Regular Polygon
All sides and all angles are equal: equilateral triangle, square, regular pentagon, hexagon …
Regular Polygon📐 Formula
Interior angle = (n − 2) × 180° ÷ n; Area = n s² ÷ [4 tan(180°/n)]
✏️ Worked example
Hexagon, s = 4: interior angle 120°, area = 96 ÷ (4 tan 30°) ≈ 41.57.
🌍 Where it is used
Honeycombs (hexagons), nuts and bolts, stop signs (octagons).
❓ Quick check
Interior angle of a regular hexagon: