Understanding Octagons | Definition, Properties, and Uses in Architecture and Geometry

Octagon

An octagon is a polygon with eight sides

An octagon is a polygon with eight sides. The word “octagon” is derived from the Greek words “okto” meaning “eight” and “gonia” meaning “angle.”

A regular octagon has eight equal sides and eight equal angles. Each angle in a regular octagon measures 135 degrees. The sum of the interior angles in an octagon is always equal to 1080 degrees. To calculate the measure of each interior angle in a regular octagon, you can use the formula:

Interior angle measure = (180 * (n-2)) / n

where n is the number of sides, in this case, n = 8.

Using the formula:

Interior angle measure = (180 * (8-2)) / 8 = (180 * 6) / 8 = 135 degrees.

In addition to a regular octagon, there can be irregular octagons where the sides and angles are not all equal. Irregular octagons can have various combinations of different side lengths and angles.

Octagons are commonly found in architecture, such as in the design of buildings, windows, and various decorative elements. They are also used in sports fields, like stop signs, and in various geometric applications.

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