Octoquinquagintagonal

Octoquinquagintagonal refers to a polygon with eighty-five sides. The term is derived from Latin roots, with "octo" meaning eight, "quinquaginta" meaning fifty, and "gonal" relating to angles. Therefore, an octoquinquagintagonal figure possesses eighty-five angles and eighty-five vertices. Like all polygons, an octoquinquagintagon can be regular or irregular. In a regular octoquinquagintagon, all sides are of equal length and all interior angles are equal. The sum of the interior angles of any octoquinquagintagon can be calculated using the formula (n-2) * 180 degrees, where n represents the number of sides. For an octoquinquagintagon, this sum is (85-2) * 180, resulting in 14,940 degrees. Each interior angle of a regular octoquinquagintagon measures approximately 175.76 degrees. The number of diagonals in an octoquinquagintagon can be found using the formula n(n-3)/2, which for eighty-five sides equates to 85(85-3)/2, or 3485 diagonals.