Interior Angle Of Hexagon
Hexagon is a six-sided polygon, which means it has six angles. The interior angle of a hexagon is the angle formed inside the hexagon by two adjacent sides. Understanding the interior angle of hexagon is important for various mathematical and engineering applications such as architecture, construction, and design. In this article, we will explore the interior angle of hexagon in detail.
Formula for Calculating Interior Angle of Hexagon
The formula for calculating the interior angle of hexagon is:
Interior Angle = (n - 2) x 180 / n
Where n is the number of sides of the polygon. In the case of a hexagon, n is equal to 6.
Using this formula, we can calculate the interior angle of a hexagon as follows:
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Interior Angle = (6 - 2) x 180 / 6
Interior Angle = 4 x 180 / 6
Interior Angle = 720 / 6
Interior Angle = 120 degrees
Therefore, the interior angle of a hexagon is 120 degrees.
Properties of Interior Angle of Hexagon
The interior angles of a hexagon have some interesting properties:
- The sum of the interior angles of a hexagon is equal to 720 degrees.
- Each interior angle of a regular hexagon is equal to 120 degrees.
- Each interior angle of an irregular hexagon can have different values, but their sum is always equal to 720 degrees.
These properties can be used to calculate the value of any interior angle of a hexagon, given the value of the other interior angles.
Applications of Interior Angle of Hexagon
The interior angle of hexagon has various applications in mathematics, engineering, and design:
- In geometry, the interior angle of a hexagon is used to calculate the value of other angles in the hexagon.
- In construction and architecture, the interior angle of hexagon is used to design and construct regular and irregular hexagonal structures such as buildings, bridges, and towers.
- In design, the interior angle of hexagon is used to create patterns, motifs, and shapes.
People Also Ask
What is the sum of interior angles of a hexagon?
The sum of interior angles of a hexagon is 720 degrees.
What is the exterior angle of a hexagon?
The exterior angle of a hexagon is equal to 360 / 6 = 60 degrees.
What is a regular hexagon?
A regular hexagon is a six-sided polygon in which all sides are equal in length and all interior angles are equal in measure.
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Conclusion
The interior angle of hexagon is an important mathematical concept that has various applications in engineering, design, and architecture. The formula for calculating the interior angle of a hexagon is (n - 2) x 180 / n, where n is the number of sides of the polygon. The properties of interior angles of a hexagon such as their sum and the fact that they are equal in a regular hexagon can be used to calculate the value of any interior angle of a hexagon. Understanding the interior angle of hexagon is essential for anyone working with hexagonal structures and patterns.