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Understanding The Figure With 10 Sides

10sided Polygon ClipArt ETC
10sided Polygon ClipArt ETC from etc.usf.edu

Have you ever come across a figure with 10 sides and wondered what it is called? If you have, then you are in the right place. In this article, we will explore the figure with 10 sides and what it is called. We will also look at some interesting facts and examples of this unique shape.

What is the Figure with 10 Sides Called?

The figure with 10 sides is called a decagon. This term comes from the Greek word "deka," which means ten, and "gonon," which means angle. A decagon is a polygon with ten sides and ten angles. Like all polygons, a decagon has straight sides and angles, and its internal angles add up to 1440 degrees.

Properties of a Decagon

A decagon has several unique properties that make it stand out from other polygons. Some of these properties include:

  • A decagon has ten sides and ten angles
  • All the interior angles of a decagon add up to 1440 degrees
  • Each exterior angle of a decagon measures 36 degrees
  • A decagon has 35 diagonals
  • The length of each diagonal can be calculated using the formula (n-3)/2 x s, where n is the number of sides and s is the length of each side.

Real-Life Examples of Decagons

Decagons can be found in many different places in the real world. Here are a few examples:

  • The shape of a soccer ball is made up of 12 pentagons and 20 hexagons, which together form a truncated icosahedron, a 3D shape with 32 faces. Each pentagon and hexagon is, in turn, a decagon.
  • The Washington Monument in Washington, D.C., is a tall obelisk with a decagonal base.
  • The design of the Canadian flag includes a stylized maple leaf with 11 points, which is essentially a decagon with curved sides.

Fun Facts About Decagons

Here are some interesting and fun facts about decagons:

  • A decagon is one of the few polygons that cannot be constructed using a compass and straightedge alone. In other words, it is not a constructible polygon.
  • A decagon is the third regular polygon after the triangle and the square, and it is the first with a name that is not derived from Greek.
  • A decagon has more diagonals than any other polygon with the same number of sides. For example, a pentagon has only five diagonals, while a hexagon has nine.

Conclusion

In conclusion, a figure with 10 sides is called a decagon. This unique polygon has several interesting properties and can be found in many different real-life examples. Whether you are a mathematician, artist, or just someone who is curious about shapes, the decagon is a fascinating figure to explore and learn about.

So, the next time you come across a decagon, you will know what it is called and what makes it so special. With its straight sides and angles, and its 1440 degrees of internal angles, the decagon is truly a remarkable shape.

References:
  • https://www.mathsisfun.com/geometry/polygons.html
  • https://www.britannica.com/topic/decagon
  • https://www.mathopenref.com/polygondecagon.html

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