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# What is a five-sided shape called?

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A five-sided shape is called a pentagon. In geometry, all two dimensional shapes are known as polygons, so it can also be referred to as a five-sided polygon.

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There are two types of pentagon; regular and irregular. A regular pentagon has five sides of equal length.

An irregular pentagon has five sides of varying length. A regular pentagon will always have the same interior and exterior angles. The interior angle of a regular pentagon is 108 degrees and the exterior angle of a regular pentagon is 72 degrees. The total interior angles of a pentagon will always equal 540 degrees.

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To calculate the area of a regular pentagon, the perimeter of the polygon is multiplied by the apothem and the result is divided in half. The mathematical formula for the calculation is area = (apothem x perimeter)/2.

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Three triangles can be drawn inside a regular pentagon. If the diagonals are drawn from any one vertex of the pentagon, the number of triangles formed is given by the formula n - 2, where “n” is the number of sides of the polygon.

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There are examples of pentagons in real life in man-made structures like the Pentagon in the United States, and also in nature in flowers like morning glories and okra. Other items, like home plates in baseball, are often in the shape of irregular pentagons.