Hexagon

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Hexagon - Angles, Diagonals, Properties, Area, and PerimeterWhat is a Hexagon?A hexagon is a 2D geometric figure enclosed by six straight edges. In the below-given picture, you can see that the six edges of a hexagon make six vertices and six angles. Are you wondering why this shape is termed hexagon? Well, a six-sided polygon is termed a hexagon as “hex” stands for six and “gonia” stands for corners. Hexagons can be broadly classified as regular hexagons and irregular hexagons on the basis of the length of their sides. Also, hexagons can be classified into convex and concave on the basis of the measure of their angles.Now, let us learn about the angles, diagonals, formulas, and properties of hexagons in detail. A HexagonCan we Find the Hexagon Pattern Around Us?The hexagon shape can be found in various objects around us, for example, a honeycomb. Have you ever noticed a honeycomb? Well, let us take a closer look at the below-given picture. Each little unit in a honeycomb has six sides, making it a hexagon. Each little unit of a honeycomb resembles a hexagon shapeWe can find the shape of a hexagon in a floor tile, on a clock, on hexagonal specs, on the cross-section of a pencil, etc. Hexagonal pencil surfaceWhat is a Regular Hexagon?When the lengths of all hexagonal sides are equal, it is known as a regular hexagon. Also, the angles of a regular hexagon are equal. Interestingly, a regular hexagon can be divided into six equilateral triangles. A regular hexagon divided into six equilateral trianglesWhat is an Irregular Hexagon?When the sides of a hexagon are unequal in length, it is known as an irregular hexagon. The angles of an irregular hexagon are not equal. An irregular hexagon cannot be divided into six equilateral triangles. An irregular hexagonConvex

And Concave HexagonsEach vertex of a convex hexagon is pointed outwards, and all interior angles are less than 1800. The sides of a convex hexagon can be equal or unequal. In a concave hexagon, one or more interior angles measure greater than 1800. Also, one or more vertex points inwards in a concave hexagon. Convex and Concave hexagons Sides and Angles of a HexagonAs stated above, a hexagon, regular or irregular, has six sides. The hexagon sides are straight, forming closed 2-D shapes. Adding up the lengths of all sides of a hexagon gives its perimeter. If the perimeter of a regular hexagon is given, the length of its every side can be determined by dividing the perimeter by 6. Length of each side of a regular hexagon = Perimeter/6However, the same is not applicable for an irregular hexagon. Since two or more sides of an irregular hexagon are unequal, the length of its sides cannot be determined from its perimeter. Perimeter of a regular hexagonA hexagon has 6 interior angles and 6 exterior angles. The sum of the interior angles of a hexagon is 7200. As the interior angles of a regular hexagon are equal, the measure of each can be determined as 7200/6. Therefore, each interior angle of a regular hexagon measures 1200. The sum of the exterior angles of a hexagon is 3600. Each exterior angle of a regular hexagon can be determined as 3600/6. Therefore, each exterior angle of a regular hexagon measures 600. Interior and exterior angles of a regular hexagonDiagonals of HexagonsA line segment connecting any two non-adjacent vertices of a hexagon is referred to as the diagonal of the hexagon. A diagonal of a regular hexagonA hexagon has 9 diagonals connecting its non-adjacent vertices. Of these, 3 diagonals pass through the centre of