10 Sides Shape Names
Shapes are all around us, and they come in various sizes and forms. While we are all familiar with the basic shapes like the circle, triangle, and square, there are many more complex shapes that exist. In this article, we will explore the world of ten-sided shapes and their names.
What is a Ten-Sided Shape?
A ten-sided shape, also known as a decagon, is a polygon with ten sides and ten angles. It can be regular, meaning that all its sides and angles are equal, or irregular, where the sides and angles can have different lengths and measurements. Decagons can be found in nature, like the starfruit, and in man-made structures, like the stop sign.
Regular Ten-Sided Shapes
Decagon
The most common ten-sided shape is the decagon, which is a regular polygon. A decagon has ten sides of equal length and ten angles of equal measurement. It is a symmetrical shape, and all its sides and angles are congruent. The formula for calculating the area of a regular decagon is (5/4) x (side length)^2 x (cot(π/10)), and the formula for calculating the perimeter is 10 x side length.
Decagram
A decagram is a ten-pointed star that is formed by connecting every other point of a regular decagon. Each point of the decagram is equidistant from the center of the decagon. The decagram can be used in various designs, like in Islamic art and architecture.
Irregular Ten-Sided Shapes
Quasi-regular Decagon
A quasi-regular decagon is an irregular decagon that has ten sides of equal length but not all angles are equal. The angles alternate between two different measurements.
Apeirogon
An apeirogon is a ten-sided polygon with infinite sides. It is a non-regular shape and is also known as a circular polygon. The term "apeirogon" comes from the Greek words "apeiros," which means infinite, and "gonia," which means angle.
Application of Ten-Sided Shapes
Ten-sided shapes have various applications in the real world. The most common application of the decagon is in the design of stop signs, where its shape alerts drivers to be cautious and stop at intersections. In architecture, ten-sided shapes can be used in the design of buildings, like the decagonal dome of the Florence Cathedral in Italy. Ten-sided shapes can also be used in jewelry design, like the decagon-shaped diamond.
Conclusion
In conclusion, ten-sided shapes, or decagons, are fascinating shapes that have various applications in our lives. From the design of stop signs to the architecture of buildings, decagons play an essential role in our daily lives. Whether regular or irregular, these shapes are a testament to the beauty and complexity of geometry.
So next time you see a ten-sided shape, remember its name and appreciate its unique characteristics!
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