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What Shape Has 11 Sides?

11sided Polygon ClipArt ETC
11sided Polygon ClipArt ETC from etc.usf.edu

Geometry is a fascinating subject that involves shapes and their properties. Have you ever wondered what shape has 11 sides? In this article, we will explore the answer to this question and learn more about this unique shape.

The Undecagon

The shape with 11 sides is called an undecagon. It is also known as an eleven-gon or hendecagon. The prefix "undeca" means 11 in Greek, which is where this shape gets its name from.

The undecagon is a complex shape that is not commonly used in everyday life. However, it is often used in architecture, art, and design. For example, you may have seen an undecagon-shaped window or door in a building.

Properties of the Undecagon

Like all polygons, the undecagon has its own set of unique properties. Here are a few interesting facts about this shape:

  • The sum of the interior angles of an undecagon is 1470 degrees.
  • The exterior angles of an undecagon add up to 360 degrees.
  • The area of an undecagon can be calculated using the formula: (11/4) × s² × (1/tan(π/11)), where s is the length of one side.

Examples of the Undecagon in Real Life

While the undecagon is not a commonly used shape, it can be found in various places. Here are a few examples:

  • The undecagon is used in the design of soccer balls. The 32 panels on a soccer ball are made up of 20 hexagons and 12 pentagons, which create 11 undecagon shapes.
  • The undecagon is also used in the design of some coins. For example, the Canadian 50-cent coin features an undecagon-shaped border.
  • The National September 11 Memorial & Museum in New York City features an undecagon-shaped pool as part of its design.

Other Shapes with 11 Sides

The undecagon is not the only shape with 11 sides. There are several other shapes with the same number of sides, including:

  • The hendecagram, which is a star polygon with 11 sides.
  • The hendecahedron, which is a polyhedron with 11 faces.

Conclusion

In conclusion, the undecagon is a unique and interesting shape with 11 sides. While it may not be commonly used in everyday life, it has its place in various fields such as architecture, art, and design. Knowing the properties and examples of this shape can add to our understanding and appreciation of the world around us.

So, the next time someone asks you what shape has 11 sides, you can confidently answer that it is an undecagon!

Remember, learning about shapes and their properties can be fun and fascinating. Keep exploring and discovering new things!

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