Exploring Nonagons | Properties, Formulas, and Applications in Architecture, Geometry, and Art

Nonagon

A nonagon is a polygon that has nine sides and nine angles

A nonagon is a polygon that has nine sides and nine angles. The word “nonagon” is derived from the Latin word “nonus” which means “nine” and the Greek word “gonia” which means “angle”.

The sum of the interior angles of a nonagon can be determined using the formula: (n-2) * 180 degrees, where “n” represents the number of sides of the polygon. In the case of a nonagon, the sum of its interior angles is (9-2) * 180 = 1260 degrees.

Each interior angle of a regular nonagon (a nonagon with equal side lengths and equal angles) measures 140 degrees. To find the measure of each interior angle in a non-regular nonagon, you can divide the sum of the interior angles (1260 degrees) by 9.

The nonagon can also be classified as a convex polygon, meaning that all of its interior angles are less than 180 degrees and the line segment connecting any two points inside the nonagon lies completely within the shape.

Nonagons commonly appear in various contexts such as architecture, geometry, and art. They can be used to create aesthetically pleasing designs and patterns.

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