The Seven Sides Shape Name: Understanding The Geometry Of Polygons
Polygon is a term used to describe a two-dimensional shape with straight sides and angles. A polygon can have any number of sides, from three to infinity. In this article, we will focus on a specific type of polygon known as the seven sides shape.
What is a Seven Sides Shape?
A seven sides shape is also known as a heptagon. It is a polygon with seven straight sides and seven angles. The angles of a heptagon add up to 900 degrees, and each angle measures approximately 128.57 degrees.
Properties of a Seven Sides Shape
The properties of a heptagon include its sides, angles, diagonals, and area. The sides of a heptagon are all equal in length, and the opposite sides are parallel. The diagonals of a heptagon are the lines that connect two non-adjacent vertices, and a heptagon has 14 diagonals. The area of a heptagon can be calculated using the formula:
Area = (7/4) x s^2 x (1/tan(180/7))
where s is the length of one side of the heptagon.
Types of Seven Sides Shape
There are different types of heptagons based on the length of their sides and the measure of their angles. A regular heptagon has all sides and angles equal, while an irregular heptagon has sides and angles of different lengths and measures.
A concave heptagon has at least one angle greater than 180 degrees, while a convex heptagon has all angles less than 180 degrees.
Applications of Seven Sides Shape
The heptagon has several applications in different fields. In geometry, heptagons are used to create tessellations, which are patterns of shapes that fit together without any gaps or overlaps. In architecture, heptagons are used in the design of buildings and structures, such as the heptagonal dome of the Tomb of Safdarjung in Delhi, India.
Heptagons are also used in mathematics, physics, and engineering to solve problems related to symmetry, angles, and shapes.
Interesting Facts About Seven Sides Shape
- The word heptagon comes from the Greek word "hepta," which means seven, and "gonia," which means angle.
- The heptagon is the only polygon with seven sides that can be constructed using only a compass and a straightedge.
- The heptagon is the shape of some coins, such as the British 50p coin and the Spanish 1 Euro coin.
Conclusion
In conclusion, the seven sides shape, also known as the heptagon, is a fascinating polygon with unique properties and applications. It is a shape that has been used for art, design, and engineering for centuries, and it continues to inspire new ideas and innovations.
So, next time you see a heptagon, remember the geometry and history behind this intriguing shape!
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