nineangled

nineangled refers to a polygon with nine sides and nine angles. It is also known as a nonagon. The term "nineangled" is a descriptive way to refer to this geometric shape.

In Euclidean geometry, a regular nineangled polygon has all sides of equal length and all interior angles equal. The sum of the interior angles of any nineangled polygon, regardless of whether it is regular or irregular, is calculated using the formula (n-2) * 180 degrees, where n is the number of sides. For a nineangled polygon, this sum is (9-2) * 180 = 7 * 180 = 1260 degrees.

The measure of each interior angle of a regular nineangled polygon is 1260 degrees / 9 = 140 degrees. The exterior angles of a regular nineangled polygon each measure 360 degrees / 9 = 40 degrees.

While not as commonly encountered as shapes like triangles or squares, nineangled polygons appear in various contexts. For example, some architectural designs or decorative patterns might incorporate nine-sided elements. The study of polygons, including the nineangled variety, is a fundamental part of geometry.