What Is The Name Of A 10 Sided Polygon?
A polygon is a two-dimensional closed shape with straight sides. Polygons can have any number of sides, and each one has a unique name. In this article, we will explore the name of a 10 sided polygon, also known as a decagon.
Decagon Definition
A decagon is a polygon with 10 sides, 10 angles, and 10 vertices. The sides of a decagon are all equal in length, and the angles are all equal in measure. The sum of the interior angles of a decagon is equal to 1440 degrees.
Naming a Decagon
The name "decagon" comes from the Greek words "deka," meaning ten, and "gonia," meaning angle. The name is formed by combining the number prefix with the suffix "-gon," which refers to a polygon with that number of sides.
However, there are other names that can be used to refer to a decagon. For example, a decagon can also be called a 10-gon or a decahedron.
Properties of a Decagon
In addition to having 10 sides, a decagon has several unique properties. For example, a decagon can be inscribed in a circle, meaning that all of its vertices lie on the circumference of a circle. The radius of the circle can be calculated using the formula r = a / (2 sin(π/n)), where a is the length of one side of the decagon and n is the number of sides.
Another interesting property of a decagon is that it can be divided into 7 triangles. These triangles have varying angles and side lengths, and can be used to calculate various properties of the decagon.
Applications of Decagons
Decagons have many practical applications in geometry, engineering, and design. For example, a decagon can be used as the base of a pyramid or a prism, or as the shape of a stop sign.
Decagons can also be used in art and architecture. The Fibonacci spiral, a mathematical pattern found in nature, can be created using a series of decagons. In addition, decagons can be used to create intricate geometric designs and patterns.
Examples of Decagons
There are many examples of decagons in the world around us. One of the most well-known examples is the stop sign, which has a red octagon shape with the word "STOP" written in white letters. However, if you look closely, you will see that the stop sign is actually made up of two overlapping decagons.
Another example of a decagon is the shape of the Great Seal of the United States. The seal features an eagle with its wings outstretched, holding a shield with 13 stripes and a banner in its beak that reads "E PLURIBUS UNUM." The shield is surrounded by 13 stars, which are arranged in a pattern of 5-pointed stars and 6-pointed stars that form a decagon.
Conclusion
In conclusion, a decagon is a polygon with 10 sides, 10 angles, and 10 vertices. It is also known as a 10-gon or a decahedron. The name "decagon" comes from the Greek words "deka" and "gonia," which mean ten and angle, respectively. Decagons have many unique properties and practical applications in geometry, engineering, design, art, and architecture.
Whether you are a student, a professional, or simply someone who is interested in mathematics and geometry, understanding the properties and applications of a decagon can be both interesting and useful.
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