How Many Sides Are There In Tetradecagon?
Geometry is a fascinating subject that deals with the measurement of shapes and their properties. One of the most intriguing shapes in geometry is the tetradecagon. In this article, we will explore the tetradecagon and answer the question, how many sides are there in tetradecagon.
What is a Tetradecagon?
A tetradecagon is a polygon with 14 sides and 14 angles. It is a regular polygon, which means that all of its sides and angles are equal. The word tetradecagon is derived from the Greek words "tetra" meaning four and "deca" meaning ten, which when combined means 14.
How to Calculate the Number of Sides in a Tetradecagon?
The formula for calculating the number of sides in a regular polygon is given by:
n = 360 / (180 - (360 / s))
Where n is the number of sides and s is the measure of the interior angle of the polygon in degrees.
For a tetradecagon, the interior angle is given by:
s = (14 - 2) x 180 / 14 = 154.29 degrees
Substituting this value in the formula, we get:
n = 360 / (180 - (360 / 154.29)) = 14
Therefore, a tetradecagon has 14 sides.
Properties of a Tetradecagon
A tetradecagon has several interesting properties. Some of them are:
- All sides of a tetradecagon are equal in length.
- All angles of a tetradecagon are equal in measure.
- The sum of the interior angles of a tetradecagon is 2,520 degrees.
- The exterior angle of a tetradecagon is 25.71 degrees.
Real-life Examples of Tetradecagon
Although the tetradecagon is a mathematical concept, it can be found in real-life examples. Some of them are:
- The design of the 14-sided dodecagonal tomb of Emperor Jahangir in Pakistan.
- The shape of the 14-sided Abu Dhabi Investment Authority Tower in Abu Dhabi.
- The pattern created by the 14-sided star on the flag of the U.S. state of Michigan.
Conclusion
As we have seen, a tetradecagon is a polygon with 14 sides and 14 angles. It is a regular polygon, which means that all of its sides and angles are equal. The formula for calculating the number of sides in a regular polygon is n = 360 / (180 - (360 / s)). By substituting the value of s for a tetradecagon, we get n = 14. The tetradecagon has several interesting properties and can be found in real-life examples.
So, the next time someone asks you how many sides are there in a tetradecagon, you can confidently say that it has 14 sides.
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