Octagon
An octagon is a polygon with eight sides and eight angles
An octagon is a polygon with eight sides and eight angles. It is a regular polygon, meaning that all of its sides and angles are equal in measure. In an octagon, each interior angle measures 135 degrees, and each exterior angle measures 45 degrees. The sum of the interior angles of an octagon is 1080 degrees.
To understand the geometry of an octagon, it is helpful to imagine it as two quadrilaterals intersecting at a point. The interior angles at this point are each 180 degrees, making it the sum of two adjacent interior angles. In an octagon, this point is formed by the intersection of two consecutive sides.
There are various methods to calculate the area and perimeter of an octagon. One common way is to divide it into smaller triangles and rectangles. The area of an octagon can be found by summing the areas of these individual shapes, while the perimeter is the sum of all eight sides.
Octagons can be found in many architectural and design elements, such as stop signs and some buildings. They are also used in art and aesthetics due to their balanced and symmetrical shape.
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