What Is A Shape With 10 Sides Called?
Shapes are a fundamental concept in mathematics, and they come in different sizes, types, and properties. In this article, we will explore the shape with ten sides and learn what it is called in the world of geometry.
What is a Polygon?
A polygon is a two-dimensional shape that is formed by connecting straight lines to create a closed figure. Polygons are classified based on the number of sides they have, and each polygon has its unique name. For instance, a shape with three sides is called a triangle, while a shape with four sides is called a quadrilateral.
What is a Decagon?
A decagon is a polygon with ten sides and ten angles. The word decagon comes from the Greek word "deka," which means ten, and "gonia," which means angles. A decagon is also known as a 10-gon.
Types of Decagons
Decagons can be classified into two main types: regular and irregular decagons. A regular decagon has all its sides and angles equal, while an irregular decagon has sides and angles that are not equal.
Properties of a Decagon
A decagon has several properties that make it unique, and they include:
- It has ten sides and ten angles
- The sum of its interior angles is 1440 degrees
- The sum of its exterior angles is 360 degrees
- A regular decagon can be inscribed in a circle
- The area of a regular decagon can be calculated using the formula (5/4) x (side length)^2 x (tan(π/10))
Real-Life Examples of Decagons
Decagons are not common shapes in our daily lives, but they can be found in various objects and structures. For instance, a soccer ball has twelve regular pentagons and twenty regular hexagons, which combine to form a shape with twelve decagons. Also, some stop signs are shaped like a regular decagon.
Conclusion
In conclusion, a shape with ten sides is called a decagon, and it has unique properties that distinguish it from other polygons. Decagons can be regular or irregular, and they can be found in various objects and structures, including soccer balls and stop signs. Understanding the properties of decagons is essential in geometry and other fields that involve shapes and measurements.
So, the next time someone asks you what a shape with ten sides is called, you can confidently say it is a decagon!
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