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A hexagon is a closed two-dimensional object made up of six straight lines. It has six sides, six vertices, and six interior angles in two dimensions. The name is made up of the words ‘hex’ and ‘gonia,’ which imply six and corners, respectively.
What exactly is a hexagon?
A hexagon is a 2-D geometrical shape with six sides that have the same or different length dimensions. A hexagonal floor tile, a pencil cross-section, a clock, a honeycomb, and other real-life instances of the hexagon form include: It can be regular (with six equal side lengths and angles) or irregular (with six irregular side lengths and angles) (with 6 unequal side lengths and angles).
Regular hexagon
A regular hexagon differs from an irregular hexagon in that there is no exact measurement of angles in an irregular hexagon, and the lengths of the sides differ. The following are some of the qualities that both irregular and regular hexagons share:
Both have six sides, six internal angles, and six vertices.
720 degrees is the total of all six internal angles.
360 degrees is always the total of all six outer angles.
Sides of a Hexagon
A hexagon has six sides, as indicated in the diagram above. All of the edges are straight and form a closed shape. In a regular hexagon, all six sides are the same length, whereas, in an irregular hexagon, at least two of the sides are different lengths. The circumference of the hexagon can be calculated by adding all six sides together.
If we know the perimeter of a regular hexagon, we can compute the length of each side as “Perimeter 6.” For eg. , if the perimeter of a hexagon is 48 units, then each hexagon side is 48/6 = 8 units long.
Angles in a Hexagon
A hexagon has six inside angles and six outside angles. All six hexagon angles add up to 720 degrees, whereas the outside angles add up to 360 degrees. Take a look at the attributes of hexagon angles stated below:
Each internal angle in a regular hexagon is measured at 720° /6 = 120°.
Each outside angle of a regular hexagon is measured at 360°/ 6 = 60°.
In an irregular hexagon, at least two of the angles have distinct measurements.
Diagonal of hexagon
A diagonal is a line segment that links any two non-adjacent polygon vertices. Three of the hexagon’s nine diagonals run through it. In a hexagon, there are two sorts of diagonals: long diagonals (3 diagonals that pass through the centre) and short diagonals.
Types of Hexagon
Hexagons come in a variety of shapes and sizes. The internal angles and side lengths of hexagons can be used to classify them. The sorts of hexagons are determined by the sides and angles of the hexagon:
Regular Hexagon: A hexagon with equal sides and angles is known as a regular hexagon. A regular hexagon’s internal angles are all 120 degrees. Each of the outside angles is 60 degrees. The sum of a regular hexagon’s inner angles is 6 times 120°, which equals 720°. The sum of the outer angles is 6 times 60 degrees or 360 degrees.
Irregular Hexagon: Hexagon with Irregular Sides and Angles: It has sides and angles of varying lengths. Internal angles are not all equal to 120 degrees. However, the sum of all interior angles equals 720 degrees.
Convex Hexagon: All of the inner angles of a convex hexagon are less than 180 degrees. Convex hexagons can be regular or irregular, meaning that their side lengths and angles are equal or uneven. The convex hexagon’s vertices are all pointing outwards.
Concave Hexagon: A concave hexagon is one with at least one internal angle greater than 180 degrees. At least one of the vertex points inwards.
Properties of Hexagon
A hexagon is a six-sided flat two-dimensional shape. It could have equal sides and angles or not. The following are the important qualities of a hexagon based on these facts:
Six sides, six edges, and six vertices make up this hexagon.
All of the side lengths are either equal or uneven in length.
In a regular hexagon, all of the internal angles are equal to 120°.
The total of the interior angles is always 720 degrees.
All the external angles are equal to 60° each in a regular hexagon.
360° is equal to the total of the outer angles.
There are a total of nine diagonals that can be drawn
Because all of its internal angles are smaller than 180 degrees, a regular hexagon is also a convex hexagon.
A regular hexagon’s opposite sides are always parallel to one other.
A regular hexagon has a surface area of 3√3a2/2 square units, where an is the side length.
The perimeter of the hexagon can be calculated by adding the lengths of all six sides.
Conclusion
A regular hexagon is a closed two-dimensional shape with six equal sides and six equal angles. The regular hexagon has 120 degrees of angle on each side. And the sum of all the inner angles is 720 degrees (120 x 6).
Hexagon with Irregular Sides and Angles: It has sides and angles of different lengths. Internal angles are not all equal. However, the sum of all interior angles equals 720 degrees.
