What Type Of Polygon Has 10 Sides?
If you're curious about what type of polygon has 10 sides, you've come to the right place. In this article, we'll explore the answer to this question and provide you with some interesting facts about polygons.
Introduction to Polygons
A polygon is a two-dimensional figure that is formed by three or more line segments that meet at endpoints called vertices. Polygons are classified based on the number of sides they have, and each polygon has a unique name. For example, a polygon with three sides is called a triangle, while a polygon with four sides is called a quadrilateral.
What is a Decagon?
A polygon with 10 sides is called a decagon. The word "decagon" comes from the Greek words "deka," which means ten, and "gonia," which means angle.
A decagon has ten sides, ten angles, and 35 diagonals. The sum of the interior angles of a decagon is 1440 degrees, while the sum of the exterior angles is 360 degrees.
Types of Decagons
There are two types of decagons: regular and irregular. A regular decagon has all sides of equal length and all angles of equal measure. An irregular decagon, on the other hand, has sides and angles of different lengths and measures.
Regular decagons are symmetrical, meaning that you can draw a line of symmetry through the center of the decagon that divides it into two congruent halves. Irregular decagons, on the other hand, do not have a line of symmetry.
Real-World Examples of Decagons
Decagons are not commonly found in everyday life, but they can be found in some architectural designs. For example, some buildings have decagonal towers, while others have decagonal windows or doors.
Decagons can also be found in nature. For example, some starfish have a decagonal shape, while some flowers have ten petals arranged in a decagonal pattern.
Properties of Decagons
Decagons have some interesting properties that make them unique. For example, the ratio of the length of the diagonal to the length of the side in a regular decagon is equal to the golden ratio, which is approximately 1.618.
Another interesting property of decagons is that they can be used to create a pentagon and a triangle. To create a pentagon, you can connect the vertices of every other angle of a regular decagon. To create a triangle, you can connect the midpoint of one side of a regular decagon to the two vertices that are adjacent to that side.
Conclusion
In conclusion, a polygon with 10 sides is called a decagon. Decagons can be regular or irregular and have some interesting properties, such as the golden ratio and the ability to create a pentagon and a triangle. While decagons are not commonly found in everyday life, they can be found in some architectural designs and in nature.
We hope this article has provided you with some interesting facts about polygons and has answered your question about what type of polygon has 10 sides.
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