hexagon
a polygon with six sides and six angles
A hexagon is a polygon with six sides. It is a two-dimensional shape that falls under the category of polygons – a closed shape with three or more straight sides. The word ‘hexagon’ is derived from the Greek words ‘hex’ meaning six and ‘gonia’ meaning angles. Therefore, a hexagon has six angles and each of its interior angles measures 120 degrees.
A regular hexagon is a hexagon with all of its sides and angles equal in measure. Alternately, an irregular hexagon has no sides or angles equal in measure. Hexagons can be found in nature, such as the cells of honeycombs, the eyes of insects, and the shape of some crystals.
To calculate the perimeter of a hexagon, you simply add up the length of all six sides. The formula for the area of a regular hexagon is (3√3 / 2) * (side length)². To find the area of an irregular hexagon, you must divide it into smaller shapes like triangles and quadrilaterals and use their respective area formulas.
Some common uses of hexagons include in the design of floor or wall tiles, in engineering for the shape of nuts and bolts, and in geometry for tessellations or patterns.
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