What Is A Shape That Has 9 Sides?
Shapes are everywhere around us, from the circle of a coffee mug to the square of a window frame. But have you ever wondered what shape has nine sides? In this article, we will explore the answer to this question and learn more about this fascinating shape.
What is a Shape?
Before we dive into the world of shapes with nine sides, let's first define what a shape is. A shape is a two-dimensional figure that has a specific outline or boundary. Shapes can be simple, like a circle or square, or complex, like a star or polygon. They can also be classified by the number of sides they have, which is what we will focus on in this article.
What is a Polygon?
A polygon is a two-dimensional shape that has straight sides and angles. Polygons can be regular or irregular, depending on whether all of their sides and angles are equal. They can also be classified by the number of sides they have, starting with three sides, which is called a triangle.
What is a Nonagon?
A nonagon is a polygon with nine sides. It is a regular nonagon if all of its sides and angles are equal, and an irregular nonagon if they are not. The word "nonagon" comes from the Greek words "nona," meaning nine, and "gon," meaning angle or corner.
Examples of Nonagons
Nonagons can be found in nature, architecture, and art. One example of a natural nonagon is the star anise fruit, which has a distinct star shape with nine points. In architecture, the Enneadecagon House in Japan is a unique nonagon-shaped building with nine sides and nine rooms. In art, the nonagon is often used as a design element in patterns and mosaics.
Properties of Nonagons
Nonagons have several interesting properties that make them unique. For example, the sum of the interior angles of a nonagon is 1260 degrees, which means each angle measures 140 degrees. The exterior angles of a nonagon, on the other hand, add up to 360 degrees, which means each angle measures 40 degrees.
Nonagons also have a special relationship with circles. If you draw a circle inside a nonagon so that it touches all nine sides, the radius of the circle is called the inradius. If you draw a circle outside the nonagon so that it touches all nine sides, the radius of the circle is called the circumradius. The ratio of the inradius to the circumradius in a nonagon is approximately 0.618, which is known as the golden ratio.
Uses of Nonagons
Nonagons have several practical uses in geometry, architecture, and design. For example, they can be used to create unique building designs, like the Enneadecagon House mentioned earlier. They can also be used to create interesting patterns and designs in art, fashion, and textiles.
Conclusion
In conclusion, a nonagon is a shape with nine sides that has many interesting properties and uses. From the star anise fruit to the Enneadecagon House, nonagons can be found in nature, architecture, and art. Whether you're a mathematician, architect, or artist, nonagons are a fascinating shape that can inspire creativity and innovation.
So next time you come across a shape with nine sides, you'll know its name and all of its unique properties. And who knows, maybe you'll even use a nonagon in your next project or design!
References:
- https://en.wikipedia.org/wiki/Nonagon
- https://www.mathsisfun.com/geometry/polygons.html
- https://www.britannica.com/science/nonagon
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