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Q:

# What is a five-sided shape called?

A:

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.

## Related Questions

• A:

A pentagon has five sides and five interior angles which add up to a total of 540 degrees. To determine the number of degrees of the interior angles in a pentagon requires subtracting two from the number of sides (five) and multiplying by 180.

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• A:

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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• A:

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.