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Shapes With 7 Sides Are Called: A Comprehensive Guide

7sided Polygon ClipArt ETC
7sided Polygon ClipArt ETC from etc.usf.edu

Welcome to our latest blog post on shapes with 7 sides. In this article, we will be discussing everything you need to know about these unique geometric shapes. From their properties to their real-world applications, we will cover it all. So, whether you're a math enthusiast or just someone looking to learn more about shapes, this article is for you. Let's dive in!

What are Shapes with 7 Sides?

Shapes with 7 sides are polygons that have 7 straight sides and 7 angles. They are also called heptagons. Heptagons are a type of regular polygon, meaning that all of their sides and angles are of the same size. However, not all heptagons are regular - some have sides and angles of different sizes.

Types of Heptagons

There are two main types of heptagons:

  • Regular heptagons
  • Irregular heptagons
  • A regular heptagon has all sides and angles equal in measure, and can be inscribed in a circle. An irregular heptagon, on the other hand, has sides and angles of different sizes and cannot be inscribed in a circle.

    Properties of Heptagons

    Heptagons have several unique properties that set them apart from other polygons. Some of these properties include:

  • Seven sides and angles
  • Sum of interior angles = 900 degrees
  • Sum of exterior angles = 360 degrees
  • Can be inscribed in a circle (regular only)
  • Diagonals = 14
  • These properties make heptagons an interesting and important shape in mathematics and geometry.

    Real-World Applications of Heptagons

    Heptagons can be found in many real-world applications, including:

  • Stop signs
  • Many coins around the world
  • Some traffic signs
  • Some architectural designs
  • These applications show the importance of heptagons in our daily lives, even if we don't always notice them.

    How to Calculate the Area of a Heptagon

    Calculating the area of a heptagon can be challenging, but there are several methods you can use. One of the most common methods is to use the formula:

    Area = (7/4) x a2 x (1/tan(180/7))

    Where 'a' is the length of one side of the heptagon. Another method is to divide the heptagon into smaller triangles and calculate their areas separately. Either way, calculating the area of a heptagon requires knowledge of its properties and some basic trigonometry.

    Conclusion

    In conclusion, shapes with 7 sides are called heptagons. They are a unique and interesting shape with several important properties and real-world applications. Whether you're a math enthusiast or just someone looking to learn more about shapes, we hope this article has been informative and helpful. If you have any questions or comments, please leave them below.

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