unducentagonal

Unducentagonal refers to a polygon with eleven sides and eleven vertices. The term is derived from the Latin prefix "undecim" meaning eleven, and the Greek word "gonia" meaning angle. An unducentagonal polygon can be regular, meaning all its sides are equal in length and all its interior angles are equal, or irregular, where sides and angles vary. The sum of the interior angles of any unducentagonal polygon can be calculated using the formula (n-2) * 180 degrees, where n is the number of sides. For an unducentagon, this sum is (11-2) * 180 = 9 * 180 = 1620 degrees. In a regular unducentagon, each interior angle measures 1620 / 11 degrees, which is approximately 147.27 degrees. The number of diagonals in an unducentagon can be found using the formula n(n-3)/2, resulting in 11(11-3)/2 = 11 * 8 / 2 = 44 diagonals. While not as common in everyday geometry as shapes like triangles or squares, unducentagons are a valid and interesting class of polygons within the broader study of geometry.