fourteengon

A fourteengon is a polygon with fourteen sides and fourteen angles. In a regular fourteengon, all sides are of equal length and all interior angles are equal. The sum of the interior angles of any fourteengon, regardless of its regularity, can be calculated using the formula (n-2) 180 degrees, where n is the number of sides. For a fourteengon, this sum is (14-2) 180 = 12 180 = 2160 degrees.

For a regular fourteengon, each interior angle measures 2160 / 14 degrees, which simplifies to approximately 154.29 degrees. The exterior angle of a regular fourteengon is 360 / 14 degrees, approximately 25.71 degrees. The number of diagonals in a fourteengon can be found using the formula n(n-3)/2. For a fourteengon, this is 14(14-3)/2 = 14 11 / 2 = 7 11 = 77 diagonals.

Fourteengons are not commonly encountered in everyday geometry or architecture compared to polygons with fewer sides, such as triangles, squares, or hexagons. However, they are mathematically valid geometric figures.