What Is A Shape With 10 Sides Called?
Welcome to this article where we will explore the fascinating world of geometry and answer the question: what is a shape with 10 sides called? Whether you are a student, a teacher, or simply a curious mind, you will find this information useful and interesting.
Introduction to polygons
Before we dive into the specific shape with 10 sides, let's start by reviewing some basics of geometry. A polygon is a closed two-dimensional shape with straight sides. The sides are connected by vertices, which are the points where two sides meet. Polygons can have any number of sides, from three to infinity.
There are many types of polygons, but some of the most common ones are triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons, nonagons, and decagons. As you can see, these names are based on the number of sides each polygon has, with the Greek prefix indicating the number.
What is a shape with 10 sides called?
Now, let's answer the question that brought you to this article. A shape with 10 sides is called a decagon. The word decagon comes from the Greek word "deka" which means ten, and "gonia" which means angle. Therefore, a decagon has ten angles and ten sides.
A decagon is a regular polygon, which means that all its sides and angles are equal. The formula to calculate the interior angle of a regular decagon is (n-2) x 180 / n, where n is the number of sides. In this case, the interior angle of a decagon is 144 degrees.
Properties of a decagon
Now that we know what a decagon is, let's take a closer look at its properties. As we mentioned earlier, a decagon has ten sides and ten angles. All its sides are equal in length, and all its angles are equal in measure.
The sum of the interior angles of a decagon is 1440 degrees. This can be calculated using the formula (n-2) x 180, where n is the number of sides. Therefore, each interior angle of a regular decagon measures 144 degrees.
A decagon also has ten diagonals, which are the straight lines that connect two non-adjacent vertices. The formula to calculate the number of diagonals in a decagon is n x (n-3) / 2, where n is the number of sides. In this case, a decagon has 35 diagonals.
Examples of decagons in real life
Decagons are not as common as some other polygons, but they can be found in many areas of life. For example, a soccer ball is a polyhedron made up of 12 pentagons and 20 hexagons, with each pentagon surrounded by five hexagons. If you look closely, you can see that each hexagon is actually a distorted decagon.
Another example of a decagon in real life is a stop sign. Most stop signs are shaped like a regular octagon, but some countries, such as Canada, use a stop sign with a regular decagon shape. This is because the octagonal shape is more common in the United States, while the decagonal shape is more common in Canada.
Conclusion
In conclusion, a shape with 10 sides is called a decagon. It is a regular polygon with ten equal sides and angles, and has many interesting properties. While decagons may not be as common as some other polygons, they can be found in many areas of life, from sports to traffic signs.
We hope you found this article informative and helpful. If you have any questions or comments, please feel free to leave them below. And remember, geometry is all around us, so keep exploring!
Keep learning, keep growing!
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