Learn about the pentagon shape , a five-sided polygon with different types and properties. Find out how to identify, classify and measure pentagons with examples and worksheets. A concave pentagon has a bowl-like structure between some sides and at least one vertex that points inward. In a concave pentagon, at least one internal angle is greater than 180°. Equilateral Pentagon An Equilateral Pentagon is a geometric shape where all five sides are of the same length. Pentagon is a polygon with five sides and five vertices. A pentagon may be either convex or concave, as depicted in the next figure. When convex, the pentagon (or any closed polygon in that matter) does have all its interior angles lower than 180°. A concave polygon , to the contrary, does have one or more of its interior angles larger than 180°. In geometry , a pentagon is a five-sided polygon with five straight sides and five interior angles, which add up to 540°. Learn more about Pentagon, Regular and Irregular Pentagons and their shape with Formulas, Definitions, Examples, Properties, Area, Perimeter, etc.