What Is The Shape Called With 10 Sides?

Maret 08, 2023 Posting Komentar

10sided Polygon ClipArt ETC from etc.usf.edu

Geometry is an interesting field of study that deals with shapes, sizes, positions, and dimensions. One of the most intriguing shapes that you may have come across is the shape with 10 sides. If you're wondering what this shape is called, then you're in the right place. In this article, we'll explore the shape with 10 sides and everything you need to know about it.

What Is a 10-Sided Shape Called?

The shape with 10 sides is called a decagon. The word "decagon" is derived from the Greek words "deka" which means ten and "gonia" which means angle. Therefore, a decagon is a polygon that has ten angles and ten sides. It is a two-dimensional shape that can be regular or irregular.

Types of Decagons

Decagons can be classified into two main types based on their properties. These are regular decagons and irregular decagons.

Regular Decagon

A regular decagon is a shape with ten equal sides and ten equal angles. All the internal angles of a regular decagon measure 144 degrees. A regular decagon has five lines of symmetry and can be inscribed in a circle.

Irregular Decagon

An irregular decagon is a shape with ten sides and angles that are not equal. The internal angles of an irregular decagon can be different from each other, and the sides can have different lengths. Unlike regular decagons, irregular decagons do not have lines of symmetry, and they cannot be inscribed in a circle.

Properties of a Decagon

A decagon has several properties that make it a unique shape. Some of these properties include:

A decagon has ten sides and angles
The sum of the internal angles of a decagon is 1440 degrees
A regular decagon has five lines of symmetry
An irregular decagon does not have any lines of symmetry
A regular decagon can be inscribed in a circle
A decagon has ten vertices, which are the points where the sides meet

Examples of Decagons

Decagons can be found in different places, including nature, architecture, and art. Some examples of decagons include:

The shape of the pomegranate fruit is a natural decagon
The design of the United States one-cent coin features a regular decagon
The tiling patterns on some floors and walls may have decagon shapes
The National Museum of Natural History in Washington, D.C. has a decagonal shape

How to Draw a Decagon

Drawing a decagon is easy. Here's how to do it:

Draw a straight line and mark the endpoints as A and B
Use a compass to draw a circle centered at point A
Mark ten points on the circumference of the circle, starting from the top and going clockwise
Join the points to form the sides of the decagon

Applications of Decagons

Decagons have several applications in different fields. Some of these applications include:

In architecture, decagons can be used as the shape of a building or a room
In art, decagons can be used as a design element in paintings or sculptures
In geometry, decagons can be used as an example of a polygon with ten sides and angles
In mathematics, decagons can be used to teach concepts such as angles, lines of symmetry, and perimeter

Conclusion

In conclusion, a decagon is a shape with ten sides and angles. It can be regular or irregular, and it has several unique properties. Drawing a decagon is easy, and it has several applications in different fields. Whether you're a student of geometry, an artist, or an architect, understanding what a decagon is and its properties can be useful in your work. So, next time you come across a shape with ten sides, you'll know that it's called a decagon.

Remember to always keep exploring and learning!