The Name Of A Polygon With 11 Sides
In the world of geometry, polygons are shapes with closed paths made up of straight lines. These shapes are classified based on the number of sides they have. In this article, we will focus on the polygon with 11 sides and its name.
What is an 11-sided Polygon Called?
An 11-sided polygon is called an undecagon or hendecagon. The name "undecagon" comes from the Latin word "undecim," which means "eleven." The name "hendecagon" comes from the Greek words "hendeka," which also means "eleven," and "gonia," which means "corner" or "angle."
Properties of an Undecagon or Hendecagon
Like all polygons, an undecagon or hendecagon has its unique properties. Here are some of them:
- An 11-sided polygon has 11 vertices or corners.
- It has 11 sides of equal length.
- The sum of its interior angles is 1,440 degrees.
- Each of its interior angles measures 147.27 degrees.
Examples of Undecagons or Hendecagons in Real Life
Undecagons or hendecagons are not commonly found in real life. However, they can be seen in some architectural designs, such as the dome of St. George's Cathedral in Timișoara, Romania, and the shape of some sports fields, such as a football/soccer ball.
How to Construct an Undecagon or Hendecagon
Constructing an undecagon or hendecagon can be challenging, but it is possible using a compass and a ruler. Here are the steps to follow:
- Draw a straight line segment and mark its midpoint.
- Draw a circle with the midpoint as the center and any length as the radius.
- Divide the circle into 11 equal parts using a protractor.
- Connect the points on the circle to form the sides of the undecagon or hendecagon.
The Importance of Understanding the Names and Properties of Polygons
Understanding the names and properties of polygons is essential in geometry and other fields that involve shapes and measurements. It helps in identifying and classifying shapes, calculating their areas and perimeters, and solving various problems that involve them.
Conclusion
In summary, an 11-sided polygon is called an undecagon or hendecagon. It has 11 vertices, 11 sides of equal length, and interior angles that sum up to 1,440 degrees. While it may not be commonly found in real life, it is still essential to understand its properties and how to construct it. Knowing the names and properties of polygons can help in various applications, such as in architecture, engineering, and mathematics.
References:- https://www.mathsisfun.com/geometry/polygons.html
- https://www.dictionary.com/browse/undecagon
- https://en.wikipedia.org/wiki/Undecagon
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