Everything You Need To Know About Octagon, Nonagon, Decagon, And Dodecagon
Geometry is an important branch of mathematics that deals with the study of shapes, sizes, and positions of objects. One of the most basic shapes in geometry is the polygon. A polygon is a closed figure with straight sides. In this article, we will discuss four types of polygons – octagon, nonagon, decagon, and dodecagon.
Octagon
An octagon is a polygon with eight sides and eight angles. The sum of the interior angles of an octagon is 1080 degrees. An octagon can be regular or irregular. A regular octagon has all its sides and angles equal. Some examples of regular octagons are stop signs and some Olympic medals.
On the other hand, an irregular octagon has sides and angles of different lengths and measures. Some examples of irregular octagons are the shape of some soccer balls and some building facades.
Nonagon
A nonagon is a polygon with nine sides and nine angles. The sum of the interior angles of a nonagon is 1260 degrees. Like the octagon, a nonagon can be regular or irregular. A regular nonagon has all its sides and angles equal. Some examples of regular nonagons are some types of public fountains and some ancient architectural designs.
An irregular nonagon has sides and angles of different lengths and measures. Some examples of irregular nonagons are some shapes of some fruits and some jewelry designs.
Decagon
A decagon is a polygon with ten sides and ten angles. The sum of the interior angles of a decagon is 1440 degrees. Like the octagon and nonagon, a decagon can be regular or irregular. A regular decagon has all its sides and angles equal. Some examples of regular decagons are some types of coins and some architectural designs.
An irregular decagon has sides and angles of different lengths and measures. Some examples of irregular decagons are some shapes of some handbags and some jewelry designs.
Dodecagon
A dodecagon is a polygon with twelve sides and twelve angles. The sum of the interior angles of a dodecagon is 1800 degrees. Like the octagon, nonagon, and decagon, a dodecagon can be regular or irregular. A regular dodecagon has all its sides and angles equal. Some examples of regular dodecagons are some types of clocks and some architectural designs.
An irregular dodecagon has sides and angles of different lengths and measures. Some examples of irregular dodecagons are some shapes of some musical instruments and some jewelry designs.
Conclusion
Octagon, nonagon, decagon, and dodecagon are some of the basic polygons in geometry. They can be regular or irregular depending on the lengths and measures of their sides and angles. Understanding these polygons is important in various fields like architecture, design, and engineering.
So, next time you see a stop sign or a clock, you will know that they are regular octagon and dodecagon respectively.
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