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What Is The Name Of A Ten Sided Shape?

10sided Polygon ClipArt ETC
10sided Polygon ClipArt ETC from etc.usf.edu

Welcome to our blog post about the name of a ten sided shape. If you've ever wondered about this, you're not alone! In this article, we'll explore the answer to this question in-depth, and provide you with some interesting facts and information along the way. So, let's get started!

What is a Ten Sided Shape?

Before we dive into the name of a ten sided shape, let's first define what it is. A ten sided shape is a polygon with ten sides and ten angles. It is also known as a decagon. Decagons can be regular or irregular, depending on whether or not all of their sides are of equal length and all of their angles are of equal measure.

The Name of a Ten Sided Shape

So, what is the name of a ten sided shape? As we mentioned before, it is called a decagon. The term "decagon" comes from the Greek words "deka," meaning ten, and "gonia," meaning angle. This name accurately describes the shape's ten angles.

Decagons are used in a variety of fields, including mathematics, architecture, and design. They are also commonly found in nature, such as in the shape of a starfish or the arrangement of petals on certain flowers.

Properties of a Decagon

Now that we know the name of a ten sided shape, let's take a closer look at some of its properties. As we mentioned before, a decagon can be regular or irregular. A regular decagon has all sides and angles of equal measure, while an irregular decagon does not.

The sum of the interior angles of a decagon is 1440 degrees. To find the measure of each angle in a regular decagon, you can use the formula 180(n-2)/n, where n is the number of sides. In the case of a regular decagon, n would be 10.

Decagons can also be inscribed in a circle. In other words, all of the decagon's vertices lie on the circle's circumference. The radius of the circle can be found using the formula r = a/(2sin(π/n)), where a is the length of one of the decagon's sides.

Examples of Decagons

Now that we've covered some of the basics about decagons, let's take a look at some examples of where you might see them in the real world. One common example is in the design of stop signs. Stop signs are octagons, but they have an additional two sides that are added on to form a decagon.

Another example of where you might see a decagon is in the design of some sports balls. For example, a soccer ball is made up of 12 pentagons and 20 hexagons, which together form a truncated icosahedron. One of the faces of the truncated icosahedron is a regular decagon.

Conclusion

So, there you have it – the name of a ten sided shape is a decagon! We hope you found this article informative and interesting. Decagons are fascinating shapes with many unique properties, and they can be found in a variety of places in our everyday lives. If you have any questions or comments, feel free to leave them below!

Thanks for reading!

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