Quinquadecagons

A quinquadecagon is a polygon with fifteen sides and fifteen vertices. In a regular quinquadecagon, all sides are of equal length and all interior angles are equal. The sum of the interior angles of any quinquadecagon, regardless of whether it is regular or irregular, is 2340 degrees. For a regular quinquadecagon, each interior angle measures 156 degrees. The exterior angle of a regular quinquadecagon is 24 degrees.

A quinquadecagon can be constructed using a straightedge and compass, as 15 is a product of distinct Fermat primes (3 and 5). The area of a regular quinquadecagon with side length 'a' can be calculated using the formula A = (15/4) * a^2 * cot(pi/15). The perimeter of a regular quinquadecagon is simply 15 times its side length. The term "quinquadecagon" is derived from the Latin word "quinquadeca" meaning fifteen.