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A Polygon With Seven Sides Is Called A Heptagon

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Fractions of 7sided Polygon ClipArt ETC
Fractions of 7sided Polygon ClipArt ETC from etc.usf.edu

Have you ever heard of a heptagon? It's a polygon with seven sides. In geometry, polygons are a fundamental concept, and they come in different shapes and sizes. In this article, we will explore what a heptagon is, its properties, and some real-life applications. So, let's get started!

Properties of a Heptagon

A heptagon has seven sides, seven angles, and seven vertices. All the sides have the same length in a regular heptagon. The sum of all the internal angles in a heptagon is 900 degrees, and each angle measures 128.57 degrees in a regular heptagon. The heptagon has two diagonals from each vertex, and the total number of diagonals is 21 in a regular heptagon.

One of the interesting properties of a heptagon is that it cannot be constructed using a compass and a straight edge alone, unlike a triangle, square, pentagon, or hexagon. The reason for this is that the angles cannot be trisected using a compass and a straight edge, which is necessary to construct a heptagon.

Real-Life Applications of a Heptagon

The heptagon has been used in various fields, and some of the real-life applications are:

  • Stop Signs: The stop sign is an octagon, but the shape of the sign itself is a heptagon.
  • Coins: In the United Kingdom, the 50 pence coin is a heptagon.
  • Architecture: The famous seven-sided tower in Heptapyrgion, Greece, is an example of a heptagon in architecture.
  • Design: The seven-sided shape is often used in the design of logos, emblems, and symbols.

Conclusion

In conclusion, a polygon with seven sides is called a heptagon. It has several interesting properties, and it cannot be constructed using a compass and a straight edge alone. The heptagon has been used in various fields, including stop signs, coins, architecture, and design. Understanding the properties of polygons is essential in mathematics, and it has real-life applications.

So, the next time you come across a heptagon, remember that it's a polygon with seven sides!

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