## What is a nonagon?

A nonagon or 9-gon is a nine-sided polygon through nine interior angles that amount to 1260°. A nonagon is likewise called one enneagon. In numerous ways, enneagon is a more accurate term, because it supplies Greek roots for both that is prefix (ennea-, meaning nine) and also suffix (-gon, angled).

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Nonagons room rarely provided in most geometry texts, but it is an attractive shape, even if it is you examine a continual nonagon or an rarely often, rarely nonagon.

## Nonagon shape

To it is in a nonagon or enneagon, the shape must have actually all these properties:

It must be 2 dimensional (planar)It need to use just nine heat segmentsIt must close in one area

The nine heat segments room the nonagons" sides, and they attach to kind the nonagons" angles.

### Nonagon sides

A nonagon has actually nine straight sides of equal length. If the sides are all the same length, then you have actually a constant nonagon. If the sides differ in length, then you have an rarely often, rarely nonagon.

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

### Nonagon angles

Every nonagon has nine inner angles that amount to 1260°, and also the nine exterior angles of a nonagon sum to 360°.

Every basic nonagon (not complex) can have it"s interior separated into seven triangles.

You can find the amount of inner angles by multiply 7 × 180°, which is how you gain 1260°.

### Nonagon diagonals

Because every diagonal has 9 interior angles that connect, a nonagon has 27 diagonals.

## Regular nonagon

A regular nonagon shape has 9 same sides and 9 congruent angles. In a regular nonagon, each internal angle actions 140°.

A continual nonagon is a subtle and also beautiful design:

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

The main angle is 40° (which you have the right to calculate by separating 360° by 9). This method you deserve to construct a consistent nonagon through 7 isosceles triangles through two angle of 70° and one angle of 40°.

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## Irregular nonagon

Irregular nonagons deserve to have political parties of different lengths and interior angle of varying sizes. Yet, even odd shapes favor these are nonagons:

A polygon v at the very least one interior angle higher than 180° is a concave polygon and constantly created an rarely often rare polygon.