What Is A Polygon With 7 Sides Called?
Geometry is one of the most interesting and important subjects in mathematics. It deals with the study of shapes, sizes, positions, and dimensions of objects in space. One of the basic shapes that we come across in geometry is a polygon. A polygon is a closed two-dimensional figure that consists of three or more straight sides and angles. In this article, we will explore what a polygon with 7 sides is called and some interesting facts about it.
What is a Polygon with 7 Sides Called?
A polygon with 7 sides is called a heptagon. The word heptagon is derived from the Greek words 'hepta' meaning seven and 'gonia' meaning angle. Therefore, a heptagon is a polygon with seven angles and seven sides. It is also known as a septagon.
Properties of a Heptagon
Like any other polygon, a heptagon has some unique properties. Let us take a look at some of them.
- A heptagon has seven sides and seven angles.
- The sum of all the interior angles of a heptagon is 900 degrees.
- The sum of all the exterior angles of a heptagon is 360 degrees.
- Each interior angle of a heptagon measures approximately 128.57 degrees.
- A regular heptagon has all sides and angles of equal length and measure.
- A heptagon can be constructed using a compass and straightedge.
Real-Life Examples of a Heptagon
Heptagons can be found in many real-life objects and structures. Some examples are:
- The seven-sided stop sign on the road.
- The seven-sided coin of the British pound sterling.
- The seven-pointed star on the flag of Australia.
- The seven-sided badge of the United States Department of Defense.
- The seven-sided shape of some crystals.
- The seven-sided shape of some musical instruments like the harp and the mandolin.
Interesting Facts about a Heptagon
Here are some interesting facts about a heptagon:
- A heptagon is the fourth regular polygon that can be constructed using a compass and straightedge.
- The heptagon is used in some mathematical puzzles and problems.
- A heptagon cannot be divided into congruent triangles.
- The heptagon is the shape of the smallest regular star polygon that can be made.
Conclusion
In conclusion, a polygon with 7 sides is called a heptagon. It has unique properties and can be found in many real-life objects and structures. Learning about polygons like heptagons is not only interesting but also useful in many fields like architecture, engineering, and design.
So, the next time you come across a stop sign or a seven-sided coin, you know that it is a heptagon!
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