A hexagon is a two-dimensional geometric polygon that has six straight sides and six interior angles. The internal angles of a simple hexagon always add up to 720°.
Regular Hexagon: All six sides are equal in length, and each interior angle is exactly 120°. A regular hexagon also has exactly six lines of reflectional symmetry.
Irregular Hexagon: The sides have different lengths, and the internal angles vary, though the total sum remains 720°. Irregular hexagons can be either convex or concave.
Key Properties of a Regular Hexagon:
- Interior Angles: 1200 each (Total = 7200)
- Exterior Angles: 600 each (Total = 3600)
- Diagonals: There are 9 diagonals that cross the shape.
- Tessellation: Regular hexagons interlock perfectly without any gaps, which is why they are common in structures like honeycombs and floor tiles.
The sum of internal angles is calculated using the polygon formula:
Sum = (n – 2) X 1800
Where n is the number of sides. For a hexagon, this means:
(6 – 2) X 1800 = 4 X 1800 = 7200
The Geometric polygon calculations for a Hexagon are:
Perimeter (P) = 6a where a is the length of each side.
Area (A) = where a is the length of each side.
Hexagons symbolize balance, harmony, and the integration of opposites. In sacred geometry, the six-sided shape unites the spiritual and material realms. Because its 120-degree angles allow shapes to lock together perfectly without gaps, it also represents efficiency, structural integrity, and the natural order found in honeycombs and crystals.
