16gon

A 16-gon is a polygon with sixteen sides and sixteen vertices. The sum of the interior angles of any 16-gon is given by the formula (n-2) * 180 degrees, where n is the number of sides. For a 16-gon, this means the sum is (16-2) * 180 = 14 * 180 = 2520 degrees.

A regular 16-gon has all sides equal in length and all interior angles equal. In a regular 16-gon, each interior angle measures 2520 / 16 = 157.5 degrees. The exterior angle of a regular 16-gon is 360 / 16 = 22.5 degrees.

The area of a regular 16-gon with side length 's' can be calculated using the formula Area = 4 * s^2 * cot(pi/16). The apothem (the distance from the center to the midpoint of a side) of a regular 16-gon is given by a = s / (2 * tan(pi/16)).

A 16-gon is also known as a hexadecagon. It can be constructed using a compass and straightedge, as 16 is a product of powers of 2 and a Fermat prime (16 = 2^4). This means a regular 16-gon can be accurately drawn. Examples of 16-gons can be found in various architectural designs and geometric patterns.