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What Is A Shape With Seven Sides Called?

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

Shapes are all around us, and they come in different sizes and forms. Some shapes have simple names, like a square or a circle, while others have more complex names that can be challenging to remember. In this article, we will explore the name of a shape with seven sides and understand its properties.

What is a Shape with Seven Sides?

A shape with seven sides is called a heptagon. The word heptagon comes from the Greek word "hepta," which means seven, and "gonia," which means angle. A heptagon is a two-dimensional shape with seven straight sides and seven angles. The angles of a heptagon add up to 900 degrees, which means that each angle measures approximately 128.57 degrees.

Properties of a Heptagon

A heptagon has several unique properties that make it different from other shapes. Some of these properties include:

  • A heptagon has seven sides and seven angles.
  • Each angle of a heptagon measures approximately 128.57 degrees.
  • The sum of all the angles in a heptagon is 900 degrees.
  • A heptagon has seven vertices, which are the points where the sides of the shape meet.
  • Each vertex of a heptagon is connected by two sides.
  • A heptagon has seven diagonals, which are the straight lines that connect two non-adjacent vertices.

Examples of a Heptagon

Heptagons can be found in many different objects and shapes. Some common examples of a heptagon include:

  • Stop signs: Stop signs are heptagons with a white border and red background. The word "STOP" is written in white letters in the center of the sign.
  • Coin: The British fifty pence coin features a heptagon in the center. The heptagon represents the seven sides of the United Kingdom.
  • Soccer ball: A soccer ball is made up of 12 pentagons and 20 hexagons, which form a truncated icosahedron. Each pentagon is surrounded by five hexagons and two heptagons.

How to Calculate the Area of a Heptagon

The formula for calculating the area of a heptagon is:

Area = ((7 × s²) / 4) × (cot(π/7))

Where s is the length of one side of the heptagon.

To calculate the area of a heptagon, you need to know the length of one side. Once you have this information, you can substitute it into the formula to find the area of the shape.

Conclusion

Now that you know what a shape with seven sides is called, you can impress your friends with your knowledge of geometry. A heptagon is a fascinating shape with unique properties and can be found in many different objects around us. Whether you are studying math or simply curious about shapes, understanding the heptagon can be both fun and educational.

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