Understanding The Internal Angles Of A Hexagon In 2023
Are you familiar with hexagons? They are six-sided polygons that are often seen in different shapes and sizes. In this article, we will discuss the internal angles of a hexagon, which play a vital role in various fields such as mathematics, engineering, and architecture. By the end of this article, you will have a better understanding of what internal angles are and how they affect the shape and properties of a hexagon.
What are Internal Angles?
Internal angles refer to the angles formed inside a polygon, such as a hexagon. In a hexagon, there are six internal angles, and the sum of these angles is always equal to 720 degrees. This means that each internal angle of a regular hexagon (a hexagon with equal sides and angles) is equal to 120 degrees.
Types of Hexagons
Regular Hexagon
A regular hexagon is a hexagon with six equal sides and six equal internal angles. The internal angles of a regular hexagon are all 120 degrees. Regular hexagons are often used in different fields, such as engineering and architecture, because of their symmetrical shape and properties.
Irregular Hexagon
An irregular hexagon is a hexagon with sides and internal angles that are not equal. Unlike the regular hexagon, the internal angles of an irregular hexagon vary depending on the length of its sides and the shape of its angles.
Calculating Internal Angles of a Hexagon
To calculate the internal angles of a hexagon, you can use the formula: (n-2) x 180, where n is the number of sides of the polygon. In the case of a hexagon, n=6, so the formula becomes (6-2) x 180 = 720 degrees. This means that the sum of the internal angles of a hexagon is always 720 degrees.
Applications of Internal Angles of a Hexagon
The internal angles of a hexagon are used in various fields, such as:
- Mathematics: The internal angles of a hexagon are used in geometry to calculate different properties, such as area and perimeter.
- Engineering: Hexagonal structures, such as bridges and tunnels, use the properties of the hexagon to ensure strength and stability.
- Architecture: Regular hexagons are often used in architectural designs because of their symmetrical and aesthetically pleasing shape.
Conclusion
In conclusion, the internal angles of a hexagon are essential in different fields such as mathematics, engineering, and architecture. They determine the shape and properties of a hexagon and are used to calculate different properties such as area and perimeter. By understanding the concept of internal angles, we can appreciate the beauty and practicality of hexagons in various structures and designs.
References:- https://www.mathsisfun.com/geometry/regular-polygons.html
- https://www.engineeringtoolbox.com/hexagon-d_1479.html
- https://www.dezeen.com/2017/08/10/10-buildings-inspired-hexagons-architecture-design/
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