quinquanonagintagonal

Quinquanonagintagonal refers to a polygon with ninety-five sides. The prefix "quinqua-" indicates five, "nonaginta-" signifies ninety, and "-gonal" denotes a polygon. Therefore, a quinquanonagintagonal polygon is a geometric shape characterized by having 95 straight sides and 95 vertices.

In Euclidean geometry, a regular quinquanonagintagonal polygon has all sides of equal length and all interior angles equal. The measure of each interior angle in a regular polygon with n sides is given by the formula (n-2) * 180 / n degrees. For a quinquanonagintagonal polygon, n = 95, so the interior angle is (95-2) * 180 / 95 = 93 * 180 / 95 = 16740 / 95 = 176.21 degrees. The sum of the exterior angles of any convex polygon, including a quinquanonagintagonal one, is always 360 degrees.

The number of diagonals in a polygon with n sides is calculated by the formula n(n-3)/2. For a quinquanonagintagonal polygon, this would be 95 * (95-3) / 2 = 95 * 92 / 2 = 8740 / 2 = 4370 diagonals.

The term quinquanonagintagonal is not commonly used in everyday mathematical discourse, with polygons having such a high number of sides often referred to by their numerical designation (e.g., a 95-gon). However, it follows the standard naming conventions for polygons based on their side count.