octagon
a polygon with 8 sides
An octagon is a polygon with eight sides and eight angles. It is a two-dimensional shape that is commonly used in mathematics, engineering, and architecture. The name octagon comes from two Greek words, okto meaning eight and gonia meaning angle.
Some properties of an octagon include:
– It has eight sides and eight angles.
– The sum of the interior angles of an octagon is equal to 1080 degrees.
– The measure of each interior angle of a regular octagon is 135 degrees.
– The measure of each exterior angle of an octagon is 45 degrees.
– The perimeter of an octagon is equal to the sum of its eight sides.
– The area of an octagon can be calculated using the formula A = (2 + √2) × s^2, where s is the length of one of its sides.
Octagons are commonly used in the design of stop signs and many other architectural structures where eight sides are needed to make an aesthetically pleasing shape. They are also used in puzzles and games, such as the famous Magic Octagon puzzle.
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