What is pentagon? What are the Properties of pentagon?

Pentagon

Pentagon is a geometrical figure that has five sides and five angles. The word Pentagon is made up of two words - Penta and gonia. Penta means five and gonia means angles.

Properties of pentagon

1. Pentagon is a flat , two - dimensional shape.
2. it consists of 5 basic parts : sides, vertices, diagonal, interior angles and exterior angles.
3. All pentagons must have the same straight sides but the sides are not of the same length.
4. The sum of all interior angles of a polygon is 540 degrees.
5. All interior angles of the pentagon are equal, measuring 108 degrees each.
6. All exterior angles of a pentagon are equal, measuring 72 degrees each.

Types of pentagon

On the basis of sides, angles and vertices , pentagon is of following types-

• Regular pentagon- when all the five sides are of equal length and all angles are of equal measurements in a Pentagon then it is said to be regular pentagon.
• Irregular pentagon- if the Pentagon doesn't have equal side length and angle measure then it is called irregular pentagon.
• Convex pentagon- if all the vertices of a pentagon are pointing outwards, then it is called convex pentagon.
• Concave pentagon - if a pentagon has at least one vertices pointing inside, then it is called concave pentagon.

Examples of pentagon

• The Pentagon building in Washington D.C
• The home plate of a baseball field
• Sections of a soccer ball.