What Is An 11 Sided Polygon Called?
Are you a math enthusiast or someone who simply loves to learn new things? If yes, then you might be wondering what an 11 sided polygon is called. In geometry, polygons are 2-dimensional shapes that have straight sides and angles. They can be classified according to the number of sides they have, and each of them has a unique name.
Definition of a Polygon
Before we dive into the answer, let's first define what a polygon is. As mentioned earlier, polygons are 2-dimensional shapes that have straight sides and angles. They are made up of line segments that are connected end-to-end to form a closed shape. In addition, polygons can be either regular or irregular. A regular polygon has all sides and angles equal, while an irregular polygon has sides and angles that are not equal.
What is an 11 Sided Polygon?
An 11 sided polygon is a type of polygon that has 11 sides and 11 angles. It is also known as an hendecagon. The word "hendecagon" is derived from the Greek words "hendeka," which means "eleven," and "gonia," which means "angles." Hendecagons can be either regular or irregular, depending on whether or not all sides and angles are equal.
Properties of an 11 Sided Polygon
Like any other polygon, an 11 sided polygon has its own set of properties. These include:
- 11 sides
- 11 angles
- The sum of its interior angles is 1620 degrees
- The sum of its exterior angles is 360 degrees
- It can be inscribed in a circle, meaning all of its vertices lie on the circumference of a circle
- It can be circumscribed about a circle, meaning the circle passes through all of its vertices
Examples of an 11 Sided Polygon
Although an 11 sided polygon is not a common shape, it can still be found in various objects and structures around us. One example of an object that has an hendecagonal shape is the soccer ball. A soccer ball is made up of 20 hexagons and 12 pentagons, which combine to form a shape that is very close to an hendecagon.
Regular vs. Irregular Hendecagons
As mentioned earlier, hendecagons can be either regular or irregular. A regular hendecagon has all sides and angles equal, while an irregular hendecagon has sides and angles that are not equal. Here's an example:
Regular Hendecagon: All sides and angles are equal. The length of each side is approximately 3.9 units, and the measure of each interior angle is approximately 147.3 degrees.
Irregular Hendecagon: Sides and angles are not equal. The length of each side and the measure of each angle varies.
Conclusion
Now that we've answered the question, "What is an 11 sided polygon called?", we hope that you've learned something new today. While hendecagons may not be as common as other polygons like triangles and squares, they still have their own unique properties and characteristics that are worth exploring. Whether you're a math enthusiast or simply someone who loves to learn, we encourage you to continue exploring the fascinating world of geometry.
Posting Komentar untuk "What Is An 11 Sided Polygon Called?"