A Shape With Nine Sides: Exploring The Enneagon
When it comes to geometry, there are many shapes that we learn about in school such as circles, squares, triangles, and rectangles. However, there are also shapes that are less commonly known or talked about, such as the enneagon. In this article, we will explore this fascinating shape with nine sides and learn more about its properties.
What is an Enneagon?
An enneagon is a nine-sided polygon that has nine angles and nine vertices. It is also known as a nonagon, although this term is less commonly used. The word enneagon comes from the Greek words "ennea" which means nine and "gonia" which means angle.
Properties of an Enneagon
One of the most interesting properties of an enneagon is that all of its internal angles add up to 1260 degrees. This means that each individual angle in an enneagon measures approximately 140 degrees.
Another property of an enneagon is that it has nine lines of symmetry. This means that if you were to draw a line through the center of the enneagon, it would divide the shape into two identical halves. There are a total of nine lines of symmetry because there are nine sides to the enneagon.
Additionally, an enneagon can be inscribed in a circle. This means that all of the vertices of the enneagon lie on the circumference of a circle. The radius of this circle can be calculated using the formula r = a/2sin(π/9), where a is the length of one of the sides of the enneagon.
Real-Life Examples of Enneagons
Although the enneagon is not commonly used in everyday life, there are some examples of the shape that can be found in nature and in man-made objects.
One example of an enneagon in nature is the fruit of the Chinese lantern plant. The fruit is approximately the size and shape of an enneagon and is made up of nine segments. Each segment contains a small, edible seed and is surrounded by a papery husk that resembles a lantern.
In architecture, the enneagon can be found in the design of certain buildings such as the Baha'i House of Worship in Delhi, India. The building features nine sides and is designed to represent the unity of all religions.
Conclusion
Overall, the enneagon is a fascinating shape with many interesting properties. Although it is not commonly used in everyday life, it can be found in nature and in man-made objects. Whether you are a geometry enthusiast or simply curious about the world around you, taking the time to learn about shapes such as the enneagon can help broaden your understanding of the world we live in.
Remember, the world is full of shapes and patterns waiting to be discovered!
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