Duononagintagonal

Duononagintagonal refers to a polygon with ninety-two sides. The prefix "duo" signifies two, "nonaginta" represents ninety, and "gonal" indicates sides. Therefore, duononagintagonal literally translates to "two-ninety-sided" or ninety-two-sided.

In geometry, a polygon is a closed shape made up of straight line segments. The number of sides determines the specific name of the polygon. A duononagintagonal polygon is a regular polygon if all its sides are equal in length and all its interior angles are equal in measure.

The sum of the interior angles of any polygon with n sides can be calculated using the formula (n-2) * 180 degrees. For a duononagintagonal polygon, n = 92, so the sum of its interior angles is (92-2) * 180 = 90 * 180 = 16200 degrees. If the polygon is regular, each interior angle would measure 16200 / 92 degrees, which simplifies to approximately 176.09 degrees.

The exterior angle of a regular polygon is found by dividing 360 degrees by the number of sides. For a duononagintagonal polygon, each exterior angle measures 360 / 92 degrees, approximately 3.91 degrees.

While duononagintagonal is a valid geometric term, polygons with such a high number of sides are rarely encountered in practical applications or elementary geometry discussions, where shapes with fewer sides are more common.