A hexagon is a polygon with 6 sides and 6 angles, (hexa- means six). In the figure below are 3 different species of hexagons.

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A hexagon is a form that is commonly seen in everyday life. The shapes that consist of a honeycomb, a nut, and bolts space all examples of genuine life objects in the form of hexagon.

## Hexagon classifications

Like various other polygons, a hexagon have the right to be classified as regular or irregular. If all the sides and interior angle of a hexagon room equal, it is a constant hexagon. Otherwise that is an irregular hexagon.

Regular hexagonIrregular hexagonAll sides and also interior angles space equal | Not all sides and also angles are equal |

Hexagons or various other polygons can likewise be classified as either convex or concave. If all inner angles of a hexagon or polygon are much less than 180°, it is convex. If one or an ext interior angle are larger than 180°, the is concave. A consistent hexagon is constantly a convex hexagon.

Convex hexagonConcave hexagonAll inner angles 180° |

## Diagonals of hexagon

A diagonal line is a heat segment joining 2 non-consecutive vertices. Three diagonals have the right to be drawn from each vertex. A total of nine diagonals have the right to be attracted for a hexagon. The following figure is an example.

## Internal angle of a hexagon

The amount of the inner angles the a hexagon amounts to 720°.

As presented in the number above, three diagonals have the right to be drawn to division the hexagon into 4 triangles. The blue lines over show simply one means to division the hexagon into triangles; there room others. The amount of interior angles the the 4 triangles equates to the sum of interior angles of the hexagon. Because the sum of the inner angles the a triangle is 180°, the amount of the inner angles the the hexagon is 4 × 180° = 720°.

## Regular hexagon

A regular hexagon is a hexagon in which all sides have equal length and also all inner angles have equal measure.

### Angles and sides that a constant hexagon

Since every of the six internal angles in a consistent hexagon are equal in measure, each interior angle procedures 720°/6 = 120°, as displayed below.

Each exterior edge of a constant hexagon has actually an same measure that 60°.

Sides that a continuous hexagon room equal in length and also opposite sides space parallel.

### Symmetry in a regular hexagon

A consistent hexagon has actually 6 present of symmetry and also a rotational the contrary of stimulate 6, which method that it have the right to be rotated in together a method that it will certainly look the exact same as the original shape 6 times in 360°.

Lines that symmetryRotational symmetry6 lines of symmetry | Six 60° angles of rotation |

### Area that a regular hexagon

The area that a regular hexagon v side size s is:

From the center, a constant hexagon have the right to be divided into six equilateral triangles, each having actually side length, s, as shown below.

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The area, T, of one of the it is provided triangles, attracted in blue, can be discovered by utilizing

, where the apothem is the height of the triangle. Since there are six equilateral triangles, the area the a continual hexagon is .