The Internal Angle Of Hexagon: All You Need To Know In 2023
Hexagons are fascinating shapes that can be found in nature and in human-made structures. They have six sides and six angles. One of the most important angles of a hexagon is the internal angle. In this article, we will explore the internal angle of a hexagon and its significance in various fields. Whether you are a student, a teacher, an engineer, or just curious, this article will provide you with valuable insights.
What is the Internal Angle of Hexagon?
The internal angle of a hexagon is the angle formed inside the hexagon at each vertex. In other words, it is the angle between two adjacent sides of the hexagon. Since a hexagon has six vertices, there are six internal angles in a hexagon. The internal angle of a regular hexagon (a hexagon with all sides equal and all angles equal) is 120 degrees. However, the internal angle of an irregular hexagon can vary depending on the length of its sides and the shape of its angles.
Why is the Internal Angle of Hexagon Important?
The internal angle of hexagon is important in different fields such as mathematics, geometry, engineering, and architecture. In mathematics, the internal angle of hexagon is used in the study of polygons and their properties. It is also used in trigonometry and calculus. In geometry, the internal angle of hexagon is used in the construction of regular polygons and in the calculation of area and perimeter. In engineering and architecture, the internal angle of hexagon is used in the design and construction of structures such as bridges, buildings, and tunnels.
How to Calculate the Internal Angle of Hexagon?
The internal angle of a regular hexagon can be calculated using the formula:
Internal Angle = (n-2) x 180 / n
where n is the number of sides, which is 6 for a hexagon. Therefore, the internal angle of a regular hexagon is:
Internal Angle = (6-2) x 180 / 6 = 120 degrees
The internal angle of an irregular hexagon can be calculated by dividing the hexagon into triangles and then calculating the angles of each triangle using the angle sum property of triangles.
Examples of Hexagonal Shapes
Hexagonal shapes can be found in different forms and sizes. Some examples of hexagonal shapes are:
- Honeycomb cells
- Snowflakes
- Crystals
- Nuts and bolts
- Football (soccer) ball
Real-Life Applications of Hexagonal Shapes
Hexagonal shapes have many real-life applications. Some of them are:
- Honeycomb structures in aerospace engineering
- Heat exchangers in chemical engineering
- Crystalline structures in chemistry
- Tiles and mosaics in architecture and interior design
- Antennas and reflectors in telecommunications
Conclusion
The internal angle of hexagon is an important concept in mathematics, geometry, engineering, and architecture. It is the angle formed inside a hexagon at each vertex and is used in different fields for various applications. Whether you are exploring the beauty of hexagonal shapes or designing complex structures, understanding the internal angle of hexagon can help you achieve your goals. So, keep exploring and learning!
References:- https://en.wikipedia.org/wiki/Hexagon
- https://www.mathsisfun.com/geometry/regular-polygons.html
- https://byjus.com/maths/internal-angles-of-a-polygon/
- https://www.toppr.com/guides/maths/polygons/internal-angles-of-a-polygon/
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