A Polygon With 11 Sides Is Called
Welcome to our blog! Today, we will be discussing a polygon with 11 sides. Have you ever wondered what it's called? Well, wonder no more. We are here to give you all the information you need to know about this polygon. So, let's dive in!
What is a Polygon?
Before we get into the details of an 11-sided polygon, let's define what a polygon is. A polygon is a closed shape with straight sides. The sides of a polygon do not cross each other. Polygons can be categorized based on the number of sides they have. Triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons, nonagons, decagons, hendecagons, and dodecagons are some examples of polygons with 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12 sides, respectively.
What is an 11-Sided Polygon Called?
An 11-sided polygon is called an hendecagon. The prefix "hendeca" means 11, and "gon" means side. So, an hendecagon is a polygon with 11 sides.
Properties of an Hendecagon
Like any other polygon, an hendecagon has its unique properties. Here are some of the properties of an hendecagon:
- It has 11 sides.
- It has 11 vertices (corners).
- The sum of its interior angles is 1620 degrees.
- Each of its exterior angles is 32.73 degrees.
- It has 55 diagonals.
Examples of an Hendecagon
Hendecagons can be found in various forms of art and architecture. One of the most popular examples of an hendecagon is the 11-sided stone tower in the ancient city of Babylon. Another example is the hendecagonal prism, which is a three-dimensional figure with two hendecagonal bases.
How to Calculate the Interior Angle of an Hendecagon?
To calculate the interior angle of an hendecagon, we can use the formula:
Interior Angle = (n-2) x 180 / n
Where n is the number of sides. So, for an hendecagon:
Interior Angle = (11-2) x 180 / 11 = 147.27 degrees
How to Find the Area of an Hendecagon?
The formula to calculate the area of an hendecagon is:
Area = 11/4 x s^2 x (1/tan(180/11))
Where s is the length of one side of the hendecagon. So, if we know the length of one side, we can easily calculate the area of the hendecagon.
Conclusion
So, there you have it. An 11-sided polygon is called an hendecagon. It has 11 sides, 11 vertices, and 55 diagonals. The sum of its interior angles is 1620 degrees, and each of its exterior angles is 32.73 degrees. We hope you found this article informative and helpful. If you have any questions or suggestions, feel free to leave a comment below.
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