What Do You Call A Polygon With 11 Sides?
When it comes to polygons, you might be familiar with the more common shapes like triangles, squares, and hexagons. However, what do you call a polygon with 11 sides? In this article, we will explore this lesser-known shape and its properties.
Defining a Polygon
Before we dive into the specifics of an 11-sided polygon, let's first define what a polygon is. A polygon is a two-dimensional shape that is closed and has straight sides. It can have any number of sides, as long as it meets these criteria.
The 11-Sided Polygon
The 11-sided polygon is known as an undecagon or hendecagon. The prefix "undec" or "hendec" means "11" in Latin and Greek, respectively. This shape is not as commonly known as other polygons, but it still has interesting properties worth exploring.
Properties of an Undecagon
Like all polygons, an undecagon has its own set of properties that make it unique. Here are some of the most important properties of an undecagon:
- An undecagon has 11 sides and 11 angles.
- The sum of the interior angles of an undecagon is 1470 degrees.
- The exterior angles of an undecagon add up to 360 degrees.
- Undecagons are symmetrical shapes, meaning that they have mirror-image sides.
- There are 11 diagonals in an undecagon.
Uses of an Undecagon
While undecagons may not be as commonly known or used as other polygons, they still have practical applications. For example, undecagon-shaped tiles can be used to create unique and eye-catching patterns in flooring or wall designs. Undecagon-shaped objects can also be used in various types of art and design.
Other Polygons with 11 Sides
It's important to note that the undecagon is not the only polygon with 11 sides. There are other polygons with the same number of sides, but they have different names. For example, an 11-gon is a more general term used to describe any 11-sided polygon.
Properties of an 11-Gon
Like the undecagon, an 11-gon has its own set of properties that make it unique. Here are some of the most important properties of an 11-gon:
- An 11-gon has 11 sides and 11 angles.
- The sum of the interior angles of an 11-gon is 1470 degrees.
- The exterior angles of an 11-gon add up to 360 degrees.
- There are 55 diagonals in an 11-gon.
Uses of an 11-Gon
Like the undecagon, an 11-gon can also be used in various types of art and design. It can also be used in mathematical and geometric proofs and calculations.
In Conclusion
So, what do you call a polygon with 11 sides? The answer is an undecagon or hendecagon. This shape may not be as commonly known or used as other polygons, but it still has interesting properties and practical applications. Whether you're interested in art, design, or mathematics, the undecagon and other 11-sided polygons are shapes worth exploring.
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