ducentagonal

Ducentagonal refers to a polygon with 200 sides. The term is derived from Latin, with "duo" meaning two and "centum" meaning one hundred, forming "ducenti" for two hundred. A ducentagonal polygon is a closed two-dimensional shape bounded by 200 straight line segments. In Euclidean geometry, a regular ducentagonal polygon has all sides of equal length and all interior angles equal. The sum of the interior angles of any ducentagonal polygon is given by the formula (n-2) * 180 degrees, where n is the number of sides. For a ducentagonal polygon, this sum is (200-2) * 180 = 198 * 180 = 35640 degrees. Each interior angle of a regular ducentagonal polygon measures 35640 / 200 = 178.2 degrees. The exterior angle of a regular ducentagonal polygon is 360 / 200 = 1.8 degrees. Ducentagonal numbers are figurate numbers representing a ducentagon. The formula for the nth ducentagonal number is n(199n - 198). These numbers are rarely encountered in practical applications due to the high number of sides involved.