What Do You Call A Ten Sided Polygon?
In the field of geometry, polygons are one of the most fundamental shapes. They are two-dimensional figures that consist of straight lines connected to form a closed shape. Polygons can have any number of sides, from 3 to infinity, but in this article, we will focus on the ten-sided polygon.
What is a Ten Sided Polygon?
A ten-sided polygon is called a decagon. The word decagon comes from the Greek words "deka," which means ten, and "gonia," which means angle. A decagon has ten sides and ten angles, and all of its interior angles add up to 1440 degrees.
Properties of a Decagon
A decagon has several unique properties that make it an interesting shape to study. Here are some of the properties of a decagon:
- A decagon has ten sides of equal length.
- All of the interior angles of a decagon add up to 1440 degrees.
- A decagon has ten vertices, or corners.
- The diagonals of a decagon (lines connecting non-adjacent vertices) are equal in length.
Real World Examples of Decagons
Decagons are not just theoretical shapes; they can be found in many real-world objects. Here are some examples:
- A soccer ball is made up of 12 pentagons and 20 hexagons, but if you look closely, you can see that each pentagon is surrounded by five decagons.
- The United States and Canadian one-dollar coins are both decagonal in shape.
- The Washington Monument in Washington, D.C. has a decagonal shape at its base.
How to Calculate the Interior Angles of a Decagon
If you want to calculate the sum of the interior angles of a decagon, you can use the following formula:
Sum of interior angles = (n-2) x 180
Where "n" is the number of sides of the polygon. In the case of a decagon:
Sum of interior angles = (10-2) x 180 = 1440 degrees
Regular vs Irregular Decagons
A decagon can be either regular or irregular. A regular decagon has all sides and angles of equal length, while an irregular decagon has sides and angles of different lengths.
Regular decagons are often used in architecture and design because of their symmetry and aesthetic appeal. Irregular decagons, on the other hand, are more difficult to work with because their sides and angles are not equal.
Conclusion
Now you know that a ten-sided polygon is called a decagon. You also know some of the properties of a decagon, how to calculate its interior angles, and some real-world examples of decagons. Whether you are a student learning geometry or just curious about shapes, understanding the decagon is a valuable piece of knowledge.
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