Octagon

An octagon is a polygon that has eight sides and eight angles. The word "octagon" is derived from the Greek words "octa," which means eight, and "gonia," which means angle. This means that an octagon has eight straight sides and eight interior angles.

To visualize an octagon, you can think of a stop sign, which is a real-world example of an octagonal shape. Each side of an octagon is equal in length, and each angle measures 135 degrees. The sum of the interior angles of an octagon is 1080 degrees.

An octagon can be regular or irregular. A regular octagon has all sides and angles equal, while an irregular octagon has sides and/or angles of different lengths and measures.

The formula to find the perimeter of an octagon is: Perimeter = 8 x length of one side

Additionally, the area of a regular octagon can be found using the formula: Area = 2 x (1 + √2) x (side length)²

Understanding the properties and characteristics of an octagon is important in geometry and can be useful in various real-life situations, such as construction and design.