Detailed definition
Understanding Hexagon
Hexagon is a polygon with six sides. A hexagon is a polygon with six sides. Like other named polygons, the term depends only on side count, not on whether the shape is regular, irregular, convex, or concave.
A regular hexagon is especially useful because each interior angle measures one hundred twenty degrees and the shape can be divided neatly into six congruent equilateral triangles from its center.
Hexagons matter in geometry and applications because they sit at a sweet spot between simple symmetry and efficient tiling. That makes the regular case one of the most recognizable polygons beyond the square.
Key facts
Important ideas to remember
- A hexagon is a polygon with six sides.
- A hexagon has six sides, six vertices, and an interior angle sum of seven hundred twenty degrees.
- Each interior angle of a regular hexagon is one hundred twenty degrees.
- A regular hexagon can be partitioned into six congruent equilateral triangles from the center.
Where it is used
Where hexagon shows up
- Use hexagon naming in polygon-classification and side-count questions.
- Use regular hexagons in symmetry, tessellation, and angle problems.
- Use hexagons as examples when moving from special polygons to n-gon formulas.
Common mistakes
What to watch out for
- Do not assume every hexagon is regular just because many textbook examples are.
- Do not mix the side-count name with the angle values of the regular case.
- Do not lose the count when the six-sided boundary is irregular or partly concave.