Hexagon

A hexagon is a 6-sided polygon (a flat shape with straight sides).


Soap bubbles tend to form hexagons
when they join up.


Honeycomb has hexagons too!

Regular or Irregular

When all angles are equal and all sides are equal it is regular, otherwise it is irregular:

Regular Hexagon Irregular hexagonIrregular hexagon
Regular Hexagon Irregular Hexagons

Concave or Convex

A convex hexagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°.

When any internal angle is greater than 180° it is concave. (Think: concave has a "cave" in it)

Irregular hexagon Irregular Hexagon
Convex Hexagon Concave Hexagon

Is it a Hexagon?

No curved sides. And the shape must also be closed (all the lines connect up):

Hexagon Not a Hexagon Not a Hexagon
Hexagon
(straight sides)
Not a Hexagon
(has a curve)
Not a Hexagon
(open, not closed)

Properties

Regular Hexagon

A regular hexagon has:

  • Interior Angles of 120°
  • Exterior Angles of 60°
  • Area = (1.5√3) × s2 , or approximately 2.5980762 × s2 (where s=side length)