What Do You Call A 9 Sided Polygon?
Have you ever come across a shape with nine sides and wondered what it is called? Well, wonder no more! In this article, we will explore what a 9 sided polygon is called and delve deeper into its properties and characteristics.
What is a Polygon?
Before we dive into the specifics of a 9 sided polygon, let's first define what a polygon is. A polygon is a two-dimensional shape that is made up of straight lines and angles. The word polygon comes from the Greek words 'poly' meaning many and 'gonia' meaning angles.
Some examples of polygons include triangles, squares, and hexagons. Polygons can have any number of sides, but they must have at least three sides to be considered a polygon.
What is a 9 Sided Polygon Called?
A 9 sided polygon is called a nonagon. The word nonagon comes from the Latin words 'nonus' meaning ninth and 'gonia' meaning angle. A nonagon is a type of polygon that has nine sides, nine angles, and nine vertices (corners).
Nonagons are not as commonly known as other polygons such as triangles or squares, but they can be found in various forms in everyday life. For instance, the shape of a stop sign is a regular nonagon.
Properties of a Nonagon
Nonagons have several unique properties that make them stand out from other polygons. One of the most notable properties of a nonagon is that all of its interior angles add up to 1260 degrees. This means that each angle in a regular nonagon measures 140 degrees.
Another interesting property of a nonagon is that it has nine lines of symmetry. A line of symmetry is a line that can be drawn through a shape so that one side is a reflection of the other. In a nonagon, there are nine lines that can be drawn to create two congruent halves.
Nonagons can also be classified as either regular or irregular. A regular nonagon has nine sides that are all the same length and nine angles that are all the same measure. An irregular nonagon, on the other hand, has sides and angles of different lengths and measures.
How to Calculate the Area of a Nonagon
Calculating the area of a nonagon can be a bit tricky, especially if it is irregular. However, there is a formula that can be used to calculate the area of a regular nonagon.
The formula for the area of a regular nonagon is:
Where s is the length of one side of the nonagon.
Real-Life Applications of Nonagons
Although nonagons may not be as common as other polygons, they have several real-life applications. One example is in the design of stop signs, which are required to be regular nonagons. Nonagons are also used in the design of certain sporting equipment such as the balls used in rugby and association football.
Nonagons can also be found in various forms of art and architecture. The Hagia Sophia in Istanbul, Turkey, for example, has a nonagonal base.
Conclusion
In conclusion, a 9 sided polygon is called a nonagon. Nonagons have unique properties and characteristics that set them apart from other polygons. They can be found in various forms in everyday life and have several real-life applications. So, the next time you come across a shape with nine sides, you'll know exactly what to call it!
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