What Is The Five Sided Shape Called?
Shapes are all around us, and we use them in our everyday lives without even realizing it. From the simple circle to the complex hexagon, shapes come in all sizes and forms. However, have you ever wondered what the five-sided shape is called? In this article, we will explore the name and properties of this fascinating shape.
The Name of the Five-Sided Shape
The five-sided shape is called a pentagon. The term pentagon comes from the Greek word "penta," which means five, and "gonia," which means angle. Therefore, a pentagon is a polygon with five angles and five sides.
The Properties of a Pentagon
A pentagon is a two-dimensional shape that has five straight sides and five angles. Each angle measures 108 degrees, and the sum of all the angles is 540 degrees. The sides of a pentagon are equal in length, making it a regular polygon.
The area of a regular pentagon can be calculated by using the following formula: (1/4) x √(5(5+2√5)) x a², where "a" is the length of one of the sides. The perimeter of a regular pentagon can be calculated by multiplying the length of one side by five.
Types of Pentagons
There are two types of pentagons: regular and irregular. A regular pentagon has five equal sides and angles, while an irregular pentagon has sides and angles of different lengths and measures.
Another type of pentagon is a concave pentagon. A concave pentagon has at least one angle greater than 180 degrees, causing the shape to fold inward. On the other hand, a convex pentagon has all its angles less than 180 degrees, causing the shape to bulge outward.
Real-Life Examples of Pentagons
Pentagons can be found in many real-life objects, such as the shape of a home plate in baseball, the Pentagon building in Washington D.C., and the logo of the United States Department of Defense. Additionally, the dodecahedron, a three-dimensional shape with 12 pentagonal faces, is a common shape in geometry and architecture.
Fun Facts about Pentagons
- A pentagon has more sides than a triangle or a quadrilateral but fewer sides than a hexagon or a heptagon.
- The famous golden ratio, which is approximately 1.618, can also be found in a regular pentagon.
- A pentagon cannot be tiled without gaps or overlaps like a square, triangle, or hexagon can be.
Conclusion
In conclusion, a pentagon is a five-sided polygon with five equal angles and sides. It is a regular polygon that can be found in many real-life objects and has interesting properties, such as its area and perimeter formulas. Understanding the properties of shapes like the pentagon can help us better understand the world around us and appreciate the beauty of geometry.
So the next time you come across a five-sided shape, you can confidently say that it is a pentagon!
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