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What Is The 11 Sided Polygon Called?

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

Have you ever wondered what an 11 sided polygon is called? Well, wonder no more! In this article, we will explore the answer to this question and dive deeper into the world of polygons.

What is a Polygon?

First, let's define what a polygon is. A polygon is a closed two-dimensional shape with straight sides. Polygons can have any number of sides, but they must have at least three. Some common polygons you may be familiar with include triangles, squares, and hexagons.

What is an 11 Sided Polygon?

An 11 sided polygon is called an undecagon, also known as a hendecagon. The prefix "undec" or "hendec" comes from the Greek words for "eleven". Undecagons are not as common as polygons with fewer sides, but they can still be found in various geometric shapes and designs.

Properties of an Undecagon

Undecagons, like all polygons, have several properties that define them. Here are some key properties of an undecagon:

  • 11 sides
  • 11 angles
  • Sum of interior angles is 1470 degrees
  • Sum of exterior angles is 360 degrees
  • Has 55 diagonals

Uses of Undecagons

Undecagons may not be as commonly used as other polygons, but they still have practical applications. One example is in the design of athletic tracks. The innermost lane of an Olympic running track is a perfect undecagon, with each side measuring 1.22 meters.

Another use of undecagons is in the field of architecture. Undecagons can be used to create interesting and unique shapes in building design. For example, the facade of the Barcelona Pavilion, designed by famed architect Ludwig Mies van der Rohe, features a prominent undecagon.

Other Names for Undecagons

While undecagon and hendecagon are the most commonly used names for an 11 sided polygon, there are a few other names that you may come across. These include:

  • 11-gon
  • 11-agon
  • Elfagon

Regardless of the name, all of these refer to the same shape - an 11 sided polygon.

Higher Sided Polygons

Undecagons are just one example of a polygon with an odd number of sides. But what about polygons with even numbers of sides? These are known as even-sided polygons or digons. Some examples include:

  • 4 sided polygon - square
  • 6 sided polygon - hexagon
  • 8 sided polygon - octagon
  • 10 sided polygon - decagon
  • 12 sided polygon - dodecagon

As you can see, polygons can have any number of sides, odd or even. Each one has its own unique properties and uses.

Conclusion

So, what is the 11 sided polygon called? It's an undecagon or hendecagon. While not as commonly used as other polygons, undecagons can be found in various designs and have practical applications. Understanding the properties and uses of polygons, including undecagons, is important in fields such as mathematics, engineering, and architecture.

Now that you know what an undecagon is, why not try creating your own design using this unique shape?

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