## What is a nonagon?

A **nonagon** or **9-gon** is a nine-sided polygon with nine interior angles that sum to 1260°. A nonagon is likewise referred to as an **enneagon**. In many type of means, enneagon is a much more specific term, because it provides Greek roots for both its presolve (*ennea-, *interpretation nine) and also sufsettle (-*gon, *angled).

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Nonagons are hardly ever offered in many geomeattempt messages, yet it is an intriguing shape, whether you research a continuous nonagon or an irregular nonagon.

## Nonagon shape

To be a nonagon or enneagon, the form should have all these properties:

It have to be 2 dimensional (planar)It have to use just nine line segmentsIt must cshed in an areaThe nine line segments are the nonagons" sides, and also they affix to form the nonagons" angles.

### Nonagon sides

A nonagon has actually nine straight sides of equal length. If the sides are all the exact same size, then you have a continuous nonagon. If the sides vary in length, then you have an irregular nonagon.

If the sides are curved, it is not a nonagon.

### Nonagon angles

Eextremely nonagon has nine interior angles that amount to 1260°, and the nine exterior angles of a nonagon amount to 360°.

Eexceptionally straightforward nonagon (not complex) have the right to have actually it"s inner divided into seven triangles.

You can discover the amount of interior angles by multiplying 7 × 180°, which is how you obtain 1260°.

### Nonagon diagonals

Since eincredibly diagonal has actually 9 internal angles that affix, a nonagon has 27 diagonals.

## Regular nonagon

A continual nonagon shape has 9 equal sides and 9 congruent angles. In a regular nonagon, each inner angle measures 140°.

A continuous nonagon is a subtle and beautiful design:

It is extremely virtually a circle, however not quite. The internal angles are each 140°. You have the right to verify this bereason 1260° ÷ 9 (angles) = 140°.

The main angle is 40° (which you have the right to calculate by separating 360° by 9). This indicates you deserve to construct a continuous nonagon with 7 isosceles triangles through 2 angles of 70° and also one angle of 40°.

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## Irregular nonagon

Irconstant nonagons have the right to have sides of various lengths and also inner angles of varying sizes. Yet, also odd forms choose these are nonagons:

A polygon through at leastern one inner angle greater than 180° is a **concave polygon** and always produced an irconsistent polygon.