What Is A Polygon With 10 Sides Called?
When it comes to geometry, polygons are one of the most basic and fundamental shapes. They are defined as closed shapes with straight sides, and they can have any number of sides. But what do you call a polygon with 10 sides? In this article, we will explore the answer to this question and provide you with some additional information about this particular polygon.
What is a Polygon?
Before we dive into the specifics of a polygon with 10 sides, let's first define what a polygon is. As mentioned earlier, a polygon is a closed shape with straight sides. The sides of a polygon are connected to each other at their endpoints, and the angles between the sides are all straight angles. Some examples of polygons include triangles, squares, pentagons, hexagons, and octagons.
What is a Decagon?
Now that we know what a polygon is, let's focus on the specific type of polygon we're interested in - the one with 10 sides. This polygon is called a decagon. The word "decagon" comes from the Greek word "deka," which means "ten," and "gonia," which means "angle."
A decagon has 10 sides of equal length and 10 angles of equal measure. The sum of the interior angles of a decagon is 1,440 degrees, and each angle measures 144 degrees. A decagon can be regular or irregular, depending on whether or not all of its sides and angles are equal.
How to Calculate the Area of a Decagon?
Calculating the area of a decagon is relatively straightforward. The formula for the area of a regular decagon is:
Area = (5/4) x (s^2) x (sqrt(5+2sqrt(5)))
Where "s" is the length of one of the sides of the decagon.
If you have an irregular decagon, calculating the area is a bit more complicated. You will need to break the decagon down into triangles and then calculate the area of each triangle separately. Once you have the areas of all of the triangles, you can add them together to get the total area of the decagon.
Real-World Examples of Decagons
Although you may not realize it, decagons are all around us in our everyday lives. For example, many soccer balls and basketballs are made in the shape of a regular decagon. Additionally, some types of stop signs and traffic cones are also shaped like decagons.
Other Types of Polygons
As we mentioned earlier, polygons can have any number of sides. Some of the other most common types of polygons include:
- Triangle - 3 sides
- Quadrilateral - 4 sides
- Pentagon - 5 sides
- Hexagon - 6 sides
- Heptagon - 7 sides
- Octagon - 8 sides
- Nonagon - 9 sides
- Dodecagon - 12 sides
Each of these polygons has its own unique properties and characteristics, just like the decagon.
Conclusion
In conclusion, a polygon with 10 sides is called a decagon. Decagons are a type of polygon that have 10 sides of equal length and 10 angles of equal measure. They can be regular or irregular, and their area can be calculated using a formula. Decagons are just one of many types of polygons, and they can be found in a variety of real-world objects, from soccer balls to traffic cones.
So, the next time you come across a decagon, you'll know exactly what it is and what to call it!
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