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How to Calculate the Area of a Hexagon? Explain with Examples

The hexagon is a polygon that has six sides and six angles in it. Similarly, the Pentagon has five sides, but the Octagon has eight. The hexagon’s internal angles have all been calculated to be 120 degrees. A hexagon is a closed two-dimensional six-sided polygon in geometry. It consists of six-line segments and six vertices that make up six internal angles. Let us learn about the area of a hexagon. Commonly used, the sum of interior angles of a Polygon is given by-

(n−2)×180°

Definition Hexagon

A hexagon is a six-sided polygon with six angles and six straight sides. The word “hexagon” comes from the Greek words “hex,” which means “six,” and “gonia,” which means “corner, angle.” The term “regular hexagon” refers to a hexagon with all six sides and angles equal. Aside from that, it’s an irregular hexagon. To better comprehend the concepts around the form, we solely deal with normal hexagons in this discussion. There are two sorts of hexagons:

Hexagon Regular

A hexagon is said to be regular if all of its sides are the same length and all of its interior angles are the same size. In addition, the interior angle is 120 degrees. Six symmetrical lines and rotational symmetry of order six make up a regular hexagon.

Hexagon with an Irregular Shape

A hexagon that consists of unequal sides and angles is named to be an irregular hexagon.

Concave Hexagon

A concave hexagon is one that has at least one internal angle which is greater in value than 180°. In other terms, a hexagon with at least one vertice pointing inwards is called a hexagon. In terms of sides, it might be either regular or irregular.

Convex Hexagon

A convex hexagon is one in which all of the inner angles are less than 180 degrees. All of the vertices are also pointing outwards from the center. This is a common sort of hexagon that we see frequently while dealing with geometric forms. It could either be a regular or irregular hexagon. All of the sides of a regular hexagon are the same length, and all of the internal angles are the same value. The regular hexagon has rotational symmetry of order 6 and is made up of six symmetrical lines. The sides and angles of the irregular hexagon aren’t equal, and the angles aren’t the same.

Unique Properties of Hexagon

  • Each side of a regular hexagon is the same length.
  • Because each side is the same length, it is an asymmetrical shape.
  • A regular hexagon’s opposite sides will always be parallel to each other.
  • Six equilateral triangles can be formed from a regular hexagon.
  • A regular hexagon has 120 angles, each of which is equal

Hexagon Shapes

We may come across a variety of hexagonal-shaped things. A honeycomb, a nut, the white divisions of a volleyball, a traffic stop board, the back end of pencils, and bolts are all examples of real-life hexagonal things. For a better understanding, visit cuemath.com. Cuemath is an online learning platform that uses modern learning techniques to make math fun and interesting.

Structure of Hexagon

Hexagonal patterns can be found everywhere in nature, from beehives to the Giant’s Causeway, thanks to their efficiency. If a vast region is to be filled with the fewest hexagons, each line in a hexagonal grid is as short as it may possibly be. This implies honeycombs use less wax to make and gain a lot of strength when compressed. Parallelograms are irregular hexagons with parallel opposing edges that can tile the plane through translation. Parallel Hedrons are hexagonal prisms with parallel opposing faces in three dimensions that can tessellate 3-space through translation.

Hexagonal Area

The area of a hexagon with equal sides can be calculated using the following formula:

Area (A) of a hexagon is given as = (Apothem × Perimeter)/2

The distance between the midpoint of any of the sides and the hexagon’s center is called apothem.

 

Thomas P
I believe in making the impossible possible because there’s no fun in giving up. Travel, design, fashion and current trends in the field of industrial construction are topics that I enjoy writing about.

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