A hexagon is a polygon with six sides and six angles. In a regular hexagon, all sides and angles are equal. The sum of the interior angles of a hexagon is 720°, and each interior angle of a regular hexagon is 120°.
Below is the figure of a Hexagon with six vertices(A, B, C, D, E, F):
👁 Hexagon A Hexagon Here are a few key properties:
Sides : 6 Interior Angles : 120° each (for a regular hexagon) Exterior Angles : 60° each (since exterior angles are supplementary to interior angles) Symmetry : A regular hexagon has rotational symmetry of order 6 and reflectional symmetry along 6 axes. Hexagons are commonly seen in nature, such as in honeycombs, and have useful properties in tiling and packing.
Real-Life Examples of Hexagon Hexagon is often seen in nature, animals, and geological patterns, some examples are:
Honeycombs Carbon Nanotubes Snowflakes Digital Displays Basalt Columns 👁 Real-life-examples-of-Hexagon Real Life Examples of Hexagon Properties of Hexagon Some of the Properties of Hexagon are:
It is a polygon with six straight sides and six vertices. Sum of the interior Angles of a hexagon is always 720°. A regular hexagon has a total of nine diagonals. Each exterior angle of a regular hexagon is 60° (since the exterior angle is 360°/6 = 60°). For all hexagons, the sum of all external angles is 360 degrees. Types of Hexagon There are primarily 5 main types of Hexagons as shown in the image below:
👁 Types-of-Hexagon Types of Hexagons Regular Hexagon Properties : All sides and angles are equal. Angles : Each interior angle is 120° . Symmetry : Has six lines of symmetry and rotational symmetry of order 6. Example : A honeycomb cell. Irregular Hexagon Properties : The sides and angles are not all equal. Angles : The sum of the interior angles is always 720° , but individual angles vary. Symmetry : May have limited or no symmetry. Example : A randomly shaped tile in a design. Concave Hexagon Properties : Has at least one interior angle greater than 180°. Angles : Some interior angles are greater than 180°, making the shape "dented" or "inward." Symmetry : Typically lacks symmetry. Example : A star-shaped hexagon . Convex Hexagon Properties : All interior angles are less than 180° and all vertices point outward. Angles : All interior angles are less than 180°, which keeps the shape outwardly curved. Symmetry : Typically symmetrical. Example : A hexagonal-shaped gemstone . Complex Hexagon Properties : A hexagon with irregular sides, angles, or self-intersecting edges. Angles : Interior angles may vary, with some greater than 180° (concave). Symmetry : May have limited or no symmetry. Example : A star-shaped self-intersecting hexagon. Hexagon Geometry Formulas The formula for the Area and Perimeter of a Regular Hexagon is mentioned below:
Area of Hexagon The formula for the area of a Regular Hexagon with side s is:
Area = (3√3s 2 )/2
Perimeter of Hexagon The formula for the Perimeter of a Regular Hexagon is
Perimeter = 6s
Read More: Hexagon Formula
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