hundredangled

The term "hundredangled" refers to a polygon with one hundred angles. In geometry, a polygon is a closed shape made up of straight line segments. The number of angles in a polygon is equal to the number of sides it has. Therefore, a hundredangled polygon is also known as a hectogon, which has one hundred sides.

Like any polygon, a hectogon can be either convex or concave. A convex hectogon has all interior angles less than 180 degrees, meaning all its vertices point outwards. A concave hectogon has at least one interior angle greater than 180 degrees, causing at least one vertex to point inwards.

If a hectogon is regular, all its sides are of equal length, and all its interior angles are equal. The measure of each interior angle in a regular hectogon can be calculated using the formula (n-2) * 180 / n, where n is the number of sides. For a hectogon, this would be (100-2) * 180 / 100 = 98 * 180 / 100 = 17640 / 100 = 176.4 degrees. The sum of the interior angles of any hectogon is always (100-2) * 180 degrees, which equals 17640 degrees.

While theoretically possible, constructing or visualizing a hectogon is extremely challenging due to the sheer number of sides and angles involved. In practical applications and everyday geometry, shapes with such a high number of sides are often approximated by circles.