The Shape Of 11 Sides: What Is A Polygon With 11 Sides Called?
When it comes to geometry, polygons are one of the most interesting shapes. They are defined as a two-dimensional shape with straight sides that are connected to form a closed figure. Polygons can have any number of sides, but what about a polygon with 11 sides? What is it called? In this article, we will explore the answer to this question.
What is a Polygon?
Before we dive into the specifics of a polygon with 11 sides, let's take a quick refresher on what a polygon is. As mentioned earlier, a polygon is a two-dimensional shape with straight sides that are connected to form a closed figure. Examples of polygons include triangles, squares, pentagons, and so on. Polygons can be classified based on the number of sides they have.
Classification of Polygons
Polygons can be classified based on the number of sides they have. Here are some examples:
Triangle
A triangle is a polygon with three sides. It is the simplest polygon and is used as the building block for more complex shapes. Triangles can be classified based on the length of their sides and the size of their angles.
Square
A square is a polygon with four sides of equal length and four right angles. It is a regular polygon and is classified as a quadrilateral.
Pentagon
A pentagon is a polygon with five sides. It is a regular polygon and is classified as a pentagon.
Hexagon
A hexagon is a polygon with six sides. It is a regular polygon and is classified as a hexagon.
Heptagon
A heptagon is a polygon with seven sides. It is also known as a septagon.
Octagon
An octagon is a polygon with eight sides. It is a regular polygon and is classified as an octagon.
Nonagon
A nonagon is a polygon with nine sides. It is also known as an enneagon.
Decagon
A decagon is a polygon with ten sides. It is a regular polygon and is classified as a decagon.
What is a Polygon with 11 Sides Called?
Finally, we come to the question that this article is all about. What is a polygon with 11 sides called? A polygon with 11 sides is called a hendecagon or undecagon. The term "hendecagon" comes from the Greek words "hendeka" meaning "eleven" and "gonia" meaning "angle". Similarly, "undecagon" comes from the Latin words "undecim" meaning "eleven" and "angulus" meaning "angle".
Properties of a Hendecagon
Now that we know what a hendecagon is, let's take a look at some of its properties:
- A hendecagon has 11 sides, 11 vertices, and 11 angles.
- Each angle in a hendecagon measures 147.27 degrees.
- The sum of the interior angles of a hendecagon is 1620 degrees.
- A hendecagon can be split into 11 triangles.
- A hendecagon is a cyclic polygon, which means all its vertices lie on a single circle.
- A hendecagon is a regular polygon only if its sides and angles are of equal length and measure.
Real-Life Examples of a Hendecagon
While it is rare to see hendecagons in real life, they do exist in various forms. Here are some examples:
- A hendecagonal prism is a three-dimensional shape with two hendecagonal bases and rectangular sides.
- The Hendecagon House in Saitama, Japan, is a unique house designed in the shape of a hendecagon.
- Hendecagonal coins have been issued in various countries, including Canada and the United Kingdom.
- The 11-sided drum used in traditional Japanese music is also shaped like a hendecagon.
Conclusion
So there you have it, a polygon with 11 sides is called a hendecagon or undecagon. While it may not be as common as other polygons, it is still an interesting shape with unique properties. We hope this article has helped you understand more about polygons and their classification. Remember, the world of geometry is vast and fascinating, and there is always more to learn.
References:
Posting Komentar untuk "The Shape Of 11 Sides: What Is A Polygon With 11 Sides Called?"