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What Shape Has 14 Sides?

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14sided Polygon ClipArt ETC
14sided Polygon ClipArt ETC from etc.usf.edu

Curious about what shape has 14 sides? You've come to the right place! In this article, we'll explore the answer to this question and provide you with all the information you need to know.

Introduction

Firstly, let's clarify what we mean by "shape". In mathematics, a shape refers to a two-dimensional or three-dimensional object that has specific properties such as length, width, and height. Shapes can be classified according to the number of sides they have. For example, a triangle has three sides, a square has four sides, and a pentagon has five sides.

When we talk about a shape with 14 sides, we are referring to a 14-sided polygon. A polygon is a two-dimensional shape that has straight sides and angles.

14-Sided Polygon

The 14-sided polygon is known as a tetradecagon. It is a regular polygon, which means that all its sides and angles are equal. A tetradecagon has interior angles that measure 154.286 degrees and exterior angles that measure 25.714 degrees.

A regular tetradecagon can be constructed using a compass and straightedge. The construction involves drawing a circle with a radius equal to the length of one of the sides of the polygon, and then dividing the circle into 14 equal parts using the compass.

Tetradecagon Properties

Here are some interesting properties of the tetradecagon:

  • It has 14 sides and 14 vertices.
  • It has rotational symmetry of order 14, which means that it looks the same after being rotated by 1/14th of a full turn.
  • It has reflectional symmetry across 7 lines of symmetry.
  • It has an area equal to 14 times the square of the length of one of its sides multiplied by the cosecant of π/14.

    • Real-Life Examples

    The tetradecagon is a relatively rare shape in real-life objects or structures. However, it can be found in some architectural designs, such as the domes of certain mosques and temples.

    One famous example of a tetradecagon in architecture is the Dome of the Rock in Jerusalem. The dome is a brilliant example of Islamic architecture and features intricate geometric designs, including a tetradecagon.

    Conclusion

    So, there you have it! The shape with 14 sides is called a tetradecagon. It is a regular polygon with 14 equal sides and angles. While it may not be a common shape in everyday life, it has some fascinating properties and can be found in some architectural designs.

    Next time you come across a 14-sided shape, you'll know exactly what to call it!

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