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What Is A Shape With 11 Sides Called?

11sided Polygon ClipArt ETC
11sided Polygon ClipArt ETC from etc.usf.edu

Shapes are all around us, and they come in different sizes and forms. Some have a few sides while others have many. One of the most intriguing shapes is the one with 11 sides. Have you ever stopped to wonder what this shape is called? Well, in this article, we will explore this mystery and discover the name of this fascinating shape.

What Is a Polygon?

Before we dive into the specifics of the 11-sided shape, let's first understand what a polygon is. A polygon is a closed two-dimensional shape with straight sides. Examples of polygons include triangles, squares, pentagons, hexagons, heptagons, octagons, nonagons, and decagons. All these shapes have a specific name based on the number of sides they have.

What Is an 11-Sided Polygon?

An 11-sided polygon is called a hendecagon. The name "hendecagon" is derived from the Greek words "hendeka," which means 11, and "gonia," which means corner or angle. A hendecagon has 11 straight sides and 11 angles. It is a regular polygon, meaning that all its sides and angles are equal.

Properties of a Hendecagon

Like all polygons, the hendecagon has unique properties that make it stand out. Some of these properties include:

  • Number of sides: A hendecagon has 11 sides.
  • Number of angles: A hendecagon has 11 angles.
  • Sum of interior angles: The sum of the interior angles of a hendecagon is 1470 degrees.
  • Sum of exterior angles: The sum of the exterior angles of a hendecagon is 360 degrees.
  • Diagonals: A hendecagon has 55 diagonals.
  • Area: The area of a hendecagon can be calculated using the formula A = (11/4) × s^2 × cot(π/11), where s is the length of each side.
  • Perimeter: The perimeter of a hendecagon is equal to the sum of its 11 sides.
  • Real-Life Applications of the Hendecagon

    The hendecagon may seem like a shape that has no practical use, but that is not the case. In fact, the hendecagon has been used in various fields, including:

  • Architecture: The hendecagon has been used as a design element in buildings, especially in the windows and doors.
  • Mathematics: The hendecagon is a fascinating shape that has been studied extensively by mathematicians. It is used in geometry and trigonometry to solve complex problems.
  • Art: The hendecagon has been used as a motif in different forms of art, such as paintings, sculptures, and textiles.
  • Conclusion

    In conclusion, the 11-sided shape is called a hendecagon. It is a fascinating shape with unique properties that make it stand out. Although it may seem like a shape with no practical use, it has been used in various fields, including architecture, mathematics, and art. The hendecagon is just one of the many unique shapes that exist in our world, and understanding it helps us appreciate the beauty of geometry and mathematics.

    So, the next time you come across a shape with 11 sides, you can confidently say that it is a hendecagon.

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