What Is A Polygon With 10 Sides Called?
Welcome to our blog where we discuss all things related to geometry. Today, we will be exploring the fascinating world of polygons, specifically the polygon with 10 sides. A polygon is a two-dimensional shape that is made up of straight lines and angles. But what is a polygon with 10 sides called? Let's find out!
The Basics of Polygons
Before we dive into the specific polygon with 10 sides, let's first review some basics of polygons. Polygons are classified by the number of sides they have. A polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, and so on. Polygons can have any number of sides, but they must have at least three sides to be considered a polygon.
Another important concept to understand is that polygons can be either regular or irregular. A regular polygon is a polygon where all the sides and angles are the same size. An irregular polygon is a polygon where the sides and angles can be different sizes.
What is a Polygon with 10 Sides Called?
Now that we have reviewed the basics of polygons, let's focus on the polygon with 10 sides. A polygon with 10 sides is called a decagon. The word decagon comes from the Greek words "deka" meaning ten and "gonia" meaning angle. A decagon has 10 angles and 10 sides.
A decagon can be either regular or irregular. A regular decagon has 10 sides and 10 angles that are all the same size. An irregular decagon has sides and angles that can be different sizes.
Properties of a Decagon
Now that we know what a decagon is called, let's explore some of its properties. A decagon has several unique properties that set it apart from other polygons.
Firstly, a regular decagon can be inscribed in a circle. This means that all 10 vertices of the decagon lie on the circumference of a circle. The radius of this circle is known as the circumradius of the decagon.
Secondly, a regular decagon has an interior angle of 144 degrees. This means that if you were to draw a diagonal line from one vertex of the decagon to another, the angle formed inside the decagon would be 144 degrees.
Lastly, the sum of the interior angles of a decagon is 1440 degrees. This means that if you were to add up all the angles inside the decagon, you would get 1440 degrees.
Real-Life Examples of Decagons
While decagons may seem like a purely mathematical concept, they can actually be found in many real-life examples. For example, a soccer ball is made up of 12 regular pentagons and 20 regular hexagons. Each of the pentagons and hexagons can be divided into 10 triangles, resulting in a total of 120 regular decagons on a soccer ball.
Another real-life example of a decagon can be found in architecture. The United States Department of the Treasury building in Washington, D.C. features a prominent decagonal dome on its roof.
Conclusion
In conclusion, a polygon with 10 sides is called a decagon. A decagon can be either regular or irregular and has several unique properties that set it apart from other polygons. While decagons may seem like a purely mathematical concept, they can be found in many real-life examples, including soccer balls and architectural design. We hope you enjoyed learning about the fascinating world of polygons and their properties.
Thank you for reading our blog post. Stay tuned for more interesting articles!
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