What Is A 14 Sided Figure Called?
Geometry is a branch of mathematics that deals with shapes, sizes, and positions of objects. One of the most fascinating topics in geometry is the study of polygons, which are two-dimensional shapes with straight sides. A polygon can have any number of sides, but each one has a specific name based on the number of sides it has. In this article, we will discuss a 14 sided figure and what it is called.
Understanding Polygons
Before we dive into the 14 sided figure, let's first take a look at the different types of polygons. The most common types of polygons are:
- Triangle (3 sides)
- Quadrilateral (4 sides)
- Pentagon (5 sides)
- Hexagon (6 sides)
- Heptagon (7 sides)
- Octagon (8 sides)
- Nonagon (9 sides)
- Decagon (10 sides)
- Hendecagon (11 sides)
- Dodecagon (12 sides)
- Triskaidecagon (13 sides)
- Pentadecagon (15 sides)
As you can see, a polygon can have any number of sides, but each one has a unique name based on the number of sides it has. Now, let's take a closer look at the 14 sided figure.
The 14 Sided Figure
The 14 sided figure is a polygon with 14 sides. It is also known as a tetradecagon. The word tetradecagon comes from the Greek words "tetra" meaning four and "deka" meaning ten. This is because 14 is the sum of four and ten.
The tetradecagon is a regular polygon, which means that all of its sides are equal in length and all of its angles are equal in measure. The formula for finding the interior angle of a regular polygon is:
Interior angle = (n - 2) x 180 / n
Where n is the number of sides. For a tetradecagon, n = 14, so the formula becomes:
Interior angle = (14 - 2) x 180 / 14 = 154.29 degrees
Properties of a Tetradecagon
Now that we know what a tetradecagon is, let's take a look at some of its properties:
- The sum of the interior angles of a tetradecagon is 2160 degrees.
- The sum of the exterior angles of a tetradecagon is 360 degrees.
- The number of diagonals in a tetradecagon is 91.
- The area of a tetradecagon can be found using the formula:
Area = (14 x s²) / (4 x tan(180/14))
Where s is the length of each side.
Uses of Tetradecagons
Tetradecagons are not commonly used in everyday life, but they do have some practical applications. For example, they can be used in the design of circular tables or in the construction of bridges with 14 arches. They are also used in art and design, as well as in puzzles and games.
Conclusion
In conclusion, a 14 sided figure is called a tetradecagon. It is a regular polygon with 14 sides, and it has several unique properties. While it may not be commonly used in everyday life, it is still an interesting and important shape to study in the field of geometry.
So, the next time you come across a tetradecagon, you'll know exactly what it is!
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