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.