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What Is A Shape With Five Sides Called?

5sided Polygon ClipArt ETC
5sided Polygon ClipArt ETC from etc.usf.edu

In geometry, shapes are classified based on their number of sides and angles. Each shape has its own unique characteristics and properties. In this article, we will explore the shape that has five sides and what it is called.

What is a polygon?

A polygon is a two-dimensional shape that has straight sides and angles. The word "polygon" comes from the Greek words "poly" meaning "many" and "gonia" meaning "angle". Polygons can have any number of sides, but to be considered a polygon, it must have at least three sides.

What is a five-sided polygon called?

A five-sided polygon is called a pentagon. The word "pentagon" comes from the Greek words "penta" meaning "five" and "gonia" meaning "angle". A pentagon has five sides and five angles. The angles of a pentagon always add up to 540 degrees.

Types of pentagon

Regular pentagon

A regular pentagon is a pentagon where all sides and angles are equal. It is a symmetrical shape with five lines of symmetry. A regular pentagon has an interior angle of 108 degrees.

Irregular pentagon

An irregular pentagon is a pentagon where not all sides and angles are equal. It is an asymmetrical shape with no lines of symmetry. The interior angles of an irregular pentagon can vary.

Real-life examples of pentagons

Pentagons can be found in many real-life objects and structures. Some examples include:

  • A traffic sign with a pentagon shape, such as the "school zone" sign
  • A soccer ball or basketball, which both have pentagon-shaped panels
  • The United States Department of Defense building, which has a pentagon shape
  • A star shape, which is made up of two overlapping pentagons

Properties of a pentagon

Some properties of a pentagon include:

  • A pentagon has five sides and five angles
  • The angles of a pentagon always add up to 540 degrees
  • A regular pentagon has five lines of symmetry
  • An irregular pentagon has no lines of symmetry
  • Pentagons can be found in many real-life objects and structures

How to calculate the area of a pentagon

The formula for calculating the area of a regular pentagon is:

Area = (5/4) x s^2 x √(5 + 2√5)

Where s is the length of one side of the pentagon.

Conclusion

Now that you know what a shape with five sides is called, you can recognize a pentagon in real-life objects and structures. Whether it's a traffic sign, a soccer ball, or the United States Department of Defense building, pentagons are all around us. Understanding the properties and characteristics of pentagons can help you better understand geometry and the world around us.

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