What Shape Has Nine Sides?
Geometry is a fascinating subject that deals with shapes, sizes, and positions of objects. One of the most interesting shapes in geometry is the nine-sided polygon. In this article, we will explore what a nine-sided polygon is, its properties, and some examples of where it can be found in real life.
What is a Nine-Sided Polygon?
A polygon is a closed two-dimensional shape with straight sides. A nine-sided polygon is called a nonagon or enneagon. It is one of the most complex polygons, and it is a rare shape that is not commonly found in nature or in man-made structures.
The word "nonagon" comes from the Greek words "nona" which means nine and "gonia" which means angle. It is also sometimes referred to as an enneagon, which comes from the Greek word "ennea" meaning nine.
Properties of a Nonagon
A nonagon has several properties that make it unique. Here are some of its properties:
Angle Sum
The sum of the interior angles of a nonagon is 1260 degrees. To calculate the sum of the angles, you can use the formula (n-2) x 180, where n is the number of sides of the polygon.
Exterior Angles
The exterior angles of a nonagon add up to 360 degrees. Each exterior angle is the angle formed between a side of the polygon and a line extended from the next adjacent side.
Diagonals
A nonagon has 27 diagonals, which are lines that connect two non-adjacent vertices. The formula to calculate the number of diagonals in a nonagon is n(n-3)/2, where n is the number of sides of the polygon.
Real Life Examples of Nonagons
Nonagons are not commonly found in nature or in man-made structures. However, there are a few examples of where nonagons can be found:
Enneagram
The enneagram is a nine-pointed diagram that is used to represent nine different personality types. Each point on the diagram represents a different personality type, and the lines connecting the points represent the relationships between the types.
Soccer Ball
A soccer ball is made up of 20 hexagons and 12 pentagons, but the patches of leather that make up the ball are actually nonagons. These patches are cut in a way that they form nonagons when they are stitched together.
Conclusion
In conclusion, a nonagon is a nine-sided polygon that has several unique properties. It is not commonly found in nature or in man-made structures, but it can be found in a few examples such as the enneagram and soccer ball. Understanding the properties of polygons is important in many fields such as architecture, engineering, and mathematics.
So, now you know what shape has nine sides!
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