What Polygon Has 14 Sides?
Geometry is a branch of mathematics that deals with the study of shapes and their properties. Polygons are one of the most common shapes in geometry, and they have been studied for centuries. A polygon is a closed shape with straight sides, and the number of sides determines its name. In this article, we will explore what polygon has 14 sides.
What is a Polygon?
A polygon is a two-dimensional shape with straight sides. It is a closed shape, which means that all its sides are connected. The name of a polygon depends on the number of sides it has. For example, a polygon with three sides is called a triangle, while a polygon with four sides is called a quadrilateral.
What is a Regular Polygon?
A regular polygon is a polygon in which all the sides are of equal length, and all the angles are of equal measure. Regular polygons are often used in design and construction because of their symmetry and uniformity. Regular polygons are named by the number of sides they have, followed by the word "gon." For example, a regular polygon with three sides is called an equilateral triangle, while a regular polygon with four sides is called a square.
What is a 14-Sided Polygon?
A polygon with 14 sides is called a tetradecagon. It is also known as a 14-gon. The word "tetradecagon" comes from the Greek words "tetra," meaning four, and "deca," meaning ten. Therefore, a tetradecagon has 14 sides, which is the sum of four and ten.
Properties of a Tetradecagon
Like all polygons, a tetradecagon has several properties that can be calculated. Here are some of the properties of a tetradecagon:
- Number of sides: 14
- Sum of interior angles: 2,160 degrees
- Each interior angle: 154.28 degrees
- Sum of exterior angles: 360 degrees
- Each exterior angle: 25.71 degrees
- Diagonals: 91
- Area: varies depending on the length of the sides
Real-Life Examples of Tetradecagons
Tetradecagons are not commonly found in nature or everyday life, but they are often used in design and architecture. For example, the roof of the Taj Mahal in India is in the shape of a tetradecagon. The roof of the United States Capitol Building in Washington, D.C. is also in the shape of a tetradecagon.
How to Construct a Tetradecagon
Constructing a tetradecagon can be a challenging task, but it is possible with the right tools and techniques. Here are the steps to construct a regular tetradecagon:
- Draw a circle with a compass.
- Divide the circle into 14 equal parts using a protractor.
- Draw lines from the center of the circle to each of the 14 points on the circle.
- The lines will form a regular tetradecagon.
Other Polygons with 14 Sides
In addition to the regular tetradecagon, there are other polygons with 14 sides. These polygons are not regular, which means that their sides are not of equal length, and their angles are not of equal measure. Some of the other polygons with 14 sides include:
- Irregular tetradecagon
- Quasiregular tetradecagon
- Convex tetradecagon
- Concave tetradecagon
Conclusion
In conclusion, a polygon with 14 sides is called a tetradecagon. It is a two-dimensional shape with straight sides, and it has several properties that can be calculated. Tetradecagons are often used in design and architecture, and they can be constructed using a compass and a protractor. Understanding the properties of polygons, such as tetradecagons, is essential in the field of geometry and can be useful in many real-life applications.
So, now you know what polygon has 14 sides!
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