What Is A 9 Sided Shape Called?
When it comes to geometry, there are a variety of shapes that we encounter in our day-to-day lives. From squares and circles to rectangles and triangles, it's easy to identify these shapes and know what they're called. But what about a 9 sided shape? What is it called? In this article, we'll explore the name of this lesser-known shape and learn more about its properties and uses.
The Name of a 9 Sided Shape: Nonagon
The name of a 9 sided shape is a nonagon. The word 'nonagon' is derived from the Greek words 'nona' meaning 'nine' and 'gonia' meaning 'angle'. Therefore, a nonagon is a polygon with nine angles and nine sides. In addition to being called a nonagon, this shape is also known as an enneagon, which is derived from the Latin word 'ennea' also meaning 'nine'.
Properties of a Nonagon
A nonagon is a complex shape with many interesting properties. Here are some of the most notable properties of a nonagon:
Number of Sides and Angles
A nonagon has nine sides and nine angles. Each angle of a nonagon measures 140 degrees, and the sum of all the angles in a nonagon is 1260 degrees. This means that a nonagon is a convex polygon, which is a shape where all its interior angles are less than 180 degrees.
Regular vs. Irregular Nonagons
A nonagon can be classified as either regular or irregular. A regular nonagon is a shape where all its sides are equal in length and all its interior angles are congruent, or the same. An irregular nonagon, on the other hand, has sides and angles of varying lengths and measures.
Area and Perimeter
The area of a nonagon can be calculated using the formula A = (9s^2) / (4tan(π/9)), where 's' is the length of one of its sides. The perimeter of a nonagon can be calculated by multiplying the length of one of its sides by 9.
Uses of Nonagons
Nonagons can be found in a variety of different contexts, from architecture and design to mathematics and art. Here are some examples of how nonagons are used:
- In architecture, nonagons can be found in the design of buildings and structures, particularly in the construction of domes and cupolas.
- In mathematics, nonagons are studied for their unique properties and relationships with other shapes and polygons.
- In art, nonagons can be used as the basis for creating intricate patterns and designs.
Conclusion
So there you have it – a nonagon is the name of a 9 sided shape. This shape has many interesting properties and uses, and can be found in a variety of different contexts. Whether you're a mathematician, artist, or simply someone who appreciates the beauty of shapes and patterns, the nonagon is definitely a shape worth exploring further.
Remember to keep practicing and exploring the world of geometry to discover even more fascinating shapes and patterns!
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