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What Is A 10 Sided Polygon Called?

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

Have you ever wondered what a 10 sided polygon is called? If you're not a math whiz, you might not know the answer. But fear not, we're here to explain it to you in plain and simple language!

Definition of a Polygon

First, let's start with the basics. A polygon is a 2-dimensional shape that has straight sides and angles. Polygons can have any number of sides, from 3 to infinity. The sides of a polygon must connect to form a closed shape.

What is a 10 sided polygon called?

A 10 sided polygon is called a decagon. The word "decagon" comes from the Greek words "deka" meaning ten and "gonia" meaning angle. So a decagon has ten angles, or vertices, and ten straight sides.

Properties of a Decagon

Since a decagon has ten sides, it also has ten interior angles. The sum of the interior angles of a decagon is 1440 degrees. Each angle in a regular decagon measures 144 degrees.

A decagon can also be divided into 10 triangles, each with an interior angle sum of 180 degrees. The area of a regular decagon can be calculated using the formula:

  • Area = (5/4) * s^2 * sqrt(5 + 2 * sqrt(5))
  • where "s" is the length of one side of the decagon.

    Examples of Decagons in Real Life

    Decagons can be found in many places in the world around us. For example, the shape of a soccer ball is made up of 12 pentagons and 20 hexagons, which can be divided into 60 isosceles triangles. Each of these triangles is made up of two smaller right triangles, which can be further divided into smaller isosceles triangles, including decagons!

    Another example of a decagon in real life is the shape of the Washington Monument in Washington D.C. The monument is an obelisk shape that tapers towards the top. Each face of the monument is a trapezoid, with a decagon at the top where the walls meet.

    Other Types of Polygons

    Decagons are just one of many types of polygons. Some other common types of polygons include:

  • Triangle (3 sides)
  • Quadrilateral (4 sides)
  • Pentagon (5 sides)
  • Hexagon (6 sides)
  • Heptagon (7 sides)
  • Octagon (8 sides)
  • Nonagon (9 sides)
  • Dodecagon (12 sides)
  • Conclusion

    Now you know that a 10 sided polygon is called a decagon! Decagons have ten sides and ten angles, and can be found in many places in the world around us. If you want to learn more about polygons, there are many resources available online and in books. Keep exploring the world of math and geometry!

    Remember: Learning about math and geometry can be challenging, but it's also rewarding. Keep pushing yourself to learn and grow, and you'll be amazed at what you can accomplish!

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