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A Comprehensive Guide To The Shape With 10 Sides

10sided Polygon ClipArt ETC
10sided Polygon ClipArt ETC from etc.usf.edu

Have you ever wondered what a shape with 10 sides looks like? Look no further, as we delve into the world of geometric shapes and explore the fascinating characteristics of a shape with 10 sides. In this article, we will discuss the properties, types, and real-life applications of this unique shape.

Properties of a Shape with 10 Sides

A shape with 10 sides is called a decagon. The word “decagon” is derived from the Greek words “deka” meaning ten and “gonia” meaning angles. A decagon has ten straight sides and ten angles. The sum of all the angles in a decagon is 1440 degrees. Each angle in a regular decagon measures 144 degrees.

A decagon can be either regular or irregular. A regular decagon has all sides and angles equal, while an irregular decagon has sides and angles of different lengths and measures. Regular decagons are often used in geometry, while irregular decagons are commonly found in real-life objects and structures.

Types of a Shape with 10 Sides

Regular Decagon

A regular decagon is a ten-sided polygon where all sides and angles are congruent. The regular decagon has a unique symmetry that makes it a popular shape in art and architecture. Its properties include:

  • Equal sides
  • Equal angles
  • Sum of angles = 1440 degrees
  • Each angle measures 144 degrees
  • 10 lines of symmetry
  • Irregular Decagon

    An irregular decagon is a ten-sided polygon where the sides and angles are not congruent. It is a versatile shape that can be found in various objects and structures. Its properties include:

  • Unequal sides
  • Unequal angles
  • Sum of angles = 1440 degrees
  • Each angle measures different degrees
  • No lines of symmetry
  • Real-Life Applications of a Shape with 10 Sides

    Decagons can be found in various objects and structures, including:

  • Stop signs
  • Coins
  • Stadiums
  • Flower petals
  • Crystals
  • Stop signs are one of the most common uses of decagons. The shape of the stop sign is a regular decagon with a red background and white letters. The use of a decagon in stop signs is to ensure that the sign is easily recognizable and can be seen from a distance. Coins, such as the United States dime, also feature a decagon shape.

    Decagons are also used in stadiums and sports arenas. The decagon shape is used for the track and field events in the Olympics, including the 100-meter sprint and the long jump. The shape is also used for the pentagonal cupola of the Florence Cathedral in Italy.

    Conclusion

    In conclusion, a shape with 10 sides is known as a decagon. It can be either regular or irregular, with each having unique properties and uses. The decagon shape can be found in various objects and structures, including stop signs, coins, stadiums, and flower petals. Understanding the characteristics and properties of a decagon can help us appreciate the beauty and complexity of geometric shapes.

    So, next time you see a stop sign, take a moment to appreciate the unique shape of a decagon!

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