Enneacontapentagon

An enneacontapentagon is a polygon with 95 sides and 95 vertices. The term itself is derived from Greek roots: "enneaconta" meaning ninety and "penta" meaning five, combined to form ninety-five. Like all polygons, an enneacontapentagon can be either convex or concave, and it can be regular or irregular.

In a regular enneacontapentagon, all sides are of equal length, and all interior angles are equal. The sum of the interior angles of any enneacontapentagon can be calculated using the formula (n-2) * 180 degrees, where n is the number of sides. For an enneacontapentagon, this sum is (95-2) * 180 = 93 * 180 = 16740 degrees. In a regular enneacontapentagon, each interior angle measures 16740 / 95 degrees, which is approximately 176.21 degrees.

The number of diagonals in an enneacontapentagon can be found using the formula n(n-3)/2. For n=95, this is 95 * (95-3) / 2 = 95 * 92 / 2 = 95 * 46 = 4370 diagonals.

Enneacontapentagons are not commonly encountered in everyday geometry or architecture due to their high number of sides. Their study is primarily within the realm of theoretical geometry and abstract mathematical concepts.