A nonagon is a polygon that has nine sides. In the figure listed below are several species of nonagons.

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## Nonagon classifications

Like various other polygons, a nonagon can be classified as consistent or irregular. If all the sides and interior angle of a nonagon space equal, that is a continuous nonagon. Otherwise the is an irregular nonagon.

Regular nonagonIrregular nonagonAll sides and also interior angles are equal | Not all sides and also angles space equal |

Nonagons and other polygons can also be classified together either convex or concave. If all inner angles that a nonagon are much less than 180°, it is convex. If one or an ext interior angle is bigger than 180°, that is concave. A continual nonagon is a convex nonagon.

Convex nonagonConcave nonagonAll inner angles 180° |

## Diagonals that nonagon

A diagonal line is a heat segment joining two non-consecutive vertices. A total of twenty-seven unique diagonals have the right to be drawn for a nonagon. The following figure is one example.

There room 6 diagonals expanding from each of the 9 vertices the the nonagon over creating a total of 27 diagonals.

## Internal angles of a nonagon

The amount of the inner angles that a nonagon equals 1260°.

As presented in the figure above, 6 diagonals deserve to be drawn to division the nonagon into seven triangles. The blue lines above show just one method to divide the nonagon into triangles; there room others. The sum of interior angles that the seven triangles equates to the sum of interior angles that the nonagon. Since the amount of the inner angles that a triangle is 180°, the amount of the interior angles of the nonagon is 9 × 180° = 1260°.

## Regular nonagon

A continuous nonagon is a nonagon in which every sides have actually equal length and also all internal angles have equal measure.

### Angles of a continuous nonagon

Since every of the nine internal angles in a continuous nonagon are equal in measure, each internal angle measures 1260° ÷ 9 = 140°, as displayed below.

Each exterior edge of a continuous nonagon has an equal measure of 40°.

### Symmetry in a consistent nonagon

A constant nonagon has 9 currently of symmetry and also a rotational symmetry of stimulate 9, meaning that it can be rotated in such a method that it will certainly look the same as the initial shape 9 time in 360°.

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9 lines of symmetry | Nine 40° the rotation about the center. |