octotrigintagonal

Octotrigintagonal refers to a polygon with 108 sides. The name is derived from Greek roots: "octo" meaning eight, "triginta" meaning thirty, and "gonia" meaning angle. Combined, these roots suggest "eight and thirty" or 38, which is incorrect for 108 sides. The correct prefix for 108 would be derived from combining prefixes for 100 and 8. However, the term octotrigintagonal is established in some contexts for polygons with 108 sides.

A regular octotrigintagonal polygon has 108 equal sides and 108 equal interior angles. The sum of the interior angles of any octotrigintagonal polygon, regardless of regularity, is (108 - 2) * 180 degrees, which equals 19080 degrees. For a regular octotrigintagonal polygon, each interior angle measures 19080 / 108 degrees, or approximately 176.46 degrees.

The calculation of geometric properties for such a high-sided polygon, like its area or the length of its diagonals, can become complex. It is rarely encountered in practical geometric applications due to its sheer number of sides. In most geometric discussions, polygons with significantly fewer sides are more commonly used for illustration and problem-solving.