quattuoroctogintagonal

Quattuoroctogintagonal refers to a polygon with 84 sides. The term is derived from Latin, where "quattuor" means four, "octoginta" means eighty, and "gona" refers to angles or sides. Therefore, quattuoroctogintagonal literally translates to "four-eighty-angled". As with any polygon, a quattuoroctogintagonal figure has 84 vertices and 84 interior angles. The sum of the interior angles of a quattuoroctogintagonal polygon can be calculated using the formula (n-2) * 180 degrees, where n is the number of sides. For a quattuoroctogintagonal, this would be (84-2) * 180 = 82 * 180 = 14760 degrees. If the polygon is regular, meaning all sides and angles are equal, each interior angle would measure 14760 / 84 = 175.71 degrees. The number of diagonals in a quattuoroctogintagonal polygon is given by the formula n(n-3)/2. For n=84, this would be 84(84-3)/2 = 84 * 81 / 2 = 3402 diagonals.