Inside Angles Of Hexagon
Hexagons are six-sided polygons that have been known since ancient times. They are used in various applications such as honeycomb structures, building foundations, and even in the design of spacecraft. One of the most important aspects of hexagons is their angles, which play a crucial role in their properties and applications. In this article, we will explore the inside angles of hexagons and their significance.
Definition of Inside Angles
Before we delve deeper into the inside angles of hexagons, let us first understand what they mean. The inside angles of a polygon are the angles formed by two adjacent sides of the polygon inside its boundary. In the case of hexagons, there are six inside angles, each formed by two adjacent sides of the hexagon.
Measurement of Inside Angles
The sum of the inside angles of any polygon is (n-2) x 180 degrees, where n is the number of sides of the polygon. In the case of a hexagon, the sum of the inside angles is (6-2) x 180 degrees, which is equal to 720 degrees. Therefore, each inside angle of a regular hexagon measures 120 degrees.
Regular and Irregular Hexagons
There are two types of hexagons - regular and irregular. A regular hexagon has six equal sides and six equal inside angles, each measuring 120 degrees. An irregular hexagon, on the other hand, has sides and angles of different lengths and measures. The inside angles of an irregular hexagon can vary from less than 120 degrees to more than 180 degrees.
Properties of Inside Angles
The inside angles of a hexagon have several properties that are important in various applications. One of the most notable properties of inside angles is that they sum up to 720 degrees. This property is useful in calculating the missing angle of a hexagon or in determining the number of sides of a polygon with a given sum of angles.
Another property of inside angles of a hexagon is that each angle is supplementary to its opposite angle. In other words, the sum of the opposite inside angles of a hexagon is 180 degrees. This property can be used in various geometrical calculations and applications.
Applications of Inside Angles
The inside angles of a hexagon have various applications in different fields such as architecture, engineering, and mathematics. For instance, the regular hexagon is often used in the design of honeycomb structures due to its uniformity and strength. The inside angles of a hexagon are also useful in calculating the area and perimeter of a hexagonal shape and in designing hexagonal tiles for flooring or wall cladding.
In addition, the inside angles of a hexagon play a crucial role in the construction of regular polygons with more than six sides. By using the inside angles of a hexagon, it is possible to construct regular polygons with 12, 24, and even 48 sides.
Conclusion
In conclusion, the inside angles of a hexagon are a crucial aspect of this six-sided polygon. The inside angles of a regular hexagon are equal and measure 120 degrees each, while those of an irregular hexagon can vary in size and measure. The properties and applications of inside angles of hexagons are important in various fields such as architecture, engineering, and mathematics. Understanding the inside angles of hexagons can help in solving geometrical problems, designing structures, and exploring the beauty and complexity of geometry.
References:- https://www.mathsisfun.com/geometry/polygons-regular.html
- https://www.mathopenref.com/polygoninsideangles.html
- https://www.theschoolrun.com/what-is-a-hexagon
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