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What Is A Hectogon?

File Basic Heptagon Svg Many Sides Does A Heptagon Have
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As we delve into the world of geometry, we come across various shapes and figures. One such shape is the hectogon. In this article, we will explore what a hectogon is, its properties, and how it is used in different fields.

Definition of a Hectogon

A hectogon is a polygon with 100 sides and 100 angles. It is a two-dimensional figure that has straight sides and corners. The word hectogon is derived from the Greek word 'hekaton' which means 100, and 'gonia' which means angle.

Properties of a Hectogon

A hectogon has several properties that make it an interesting shape. Some of these properties include:

  • It has 100 sides and angles.
  • It has an interior angle of 176.4 degrees.
  • It has an exterior angle of 3.6 degrees.
  • It has 4950 diagonals.
  • It is a regular polygon, which means all its sides and angles are equal.
  • Construction of a Hectogon

    Constructing a hectogon can be a challenging task. However, there are several methods to do so. One such method is using a compass and straightedge. To construct a hectogon using this method, follow the steps below:

  • Draw a circle with a desired radius.
  • Divide the circle into 100 equal parts using a protractor.
  • Connect each point on the circle to form a hectogon.
  • Uses of a Hectogon

    Hectogons are used in various fields, including mathematics, art, and architecture. In mathematics, hectogons are used to study the properties of polygons and to solve geometric problems. In art, hectogons are used as a design element in patterns and paintings. In architecture, hectogons are used to design buildings and structures with unique shapes and designs.

    Hectogon vs. Other Polygons

    While hectogons may seem like a unique shape, they are not the only polygon with a large number of sides. Other polygons with a high number of sides include:

  • Decagon - 10 sides
  • Hendecagon - 11 sides
  • Dodecagon - 12 sides
  • Triskaidecagon - 13 sides
  • Tetrakaidecagon - 14 sides
  • Conclusion

    In conclusion, a hectogon is a polygon with 100 sides and angles. It has several properties that make it an interesting shape, and it is used in various fields such as mathematics, art, and architecture. While it may seem like a challenging shape to construct, it can be done using a compass and straightedge. Understanding the properties and uses of a hectogon can help us appreciate the beauty and complexity of geometry.

    So, the next time you come across a hectogon, you will know what it is and how it works!

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