3/13/2024 0 Comments Six sided shape name![]() ![]() Where n is the number of sides in the polygon. The formula for the number of diagonals, d n, in any polygon is, The figure below shows an example of an irregular convex hexagon and its diagonals. Note that long diagonals and short diagonals apply to regular hexagons. The diagonals shown in red are the long diagonals and the diagonals shown in blue are the short diagonals. ![]() The figure below shows the diagonals of a regular hexagon. Short diagonal - The short diagonal of a regular hexagon is one of the 6 diagonals that do not cross the middle of a regular hexagon.Long diagonal - The long diagonal of a regular hexagon is one of the 3 diagonals that crosses the middle of a regular hexagon. ![]() Three diagonals can be drawn from each vertex for a total of nine diagonals in any hexagon. The diagonals of a hexagon are line segments joining two non-consecutive vertices. A regular hexagon has 6 short diagonals and 3 long diagonals. Hexagon diagonalsĪ hexagon has 9 diagonals. Depending on the hexagon and the provided information, this may involve breaking the hexagon up into triangles and using a variety of triangle formulas to find the side lengths of the hexagon. To find the perimeter of an irregular hexagon, find the sum of the lengths of the sides of the hexagon. The formula for the perimeter of a regular hexagon with side length s is: Where P is the perimeter and a is the apothem of the hexagon represented by the dotted red line in the figure below: Given that we know these measures, the formula for the area of a regular hexagon using its apothem is, To find the area of a regular hexagon using its apothem, we need to know the perimeter of the hexagon and be able to find its apothem. įind the area of a regular hexagon that has a side length of 8. Since there are six equilateral triangles, the area of a regular hexagon is. The area, T, of one of the equilateral triangles, drawn in blue, can be found by using, where the apothem is the height of the triangle. The formula for the area of a regular hexagon with side length s is:įrom the center, a regular hexagon can be divided into six equilateral triangles, each having side length, s, as shown below. This means that it has a rotational symmetry of order 6 and can be rotated in such a way that it will look the same as the original shape 6 times in 360°.
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