For the regular triangle, all sides are of the same length, which is the length of the side of the hexagon they form. We will call this a. And the height of a triangle will be h = √3/2 × a, which is the exact value of the apothem in this case. We remind you that √ means square root. Using this, we can start with the maths: A hexagon is classified based on the side lengths and angles. Based on this, hexagons are classified into the following types: The formula to calculate the number of diagonals of a polygon is n(n-3)/2, where 'n' is the number of sides of the polygon. After substituting the value of n = 6 in the formula, we get 6(6-3)/2, which is equal to 9. Therefore, a regular hexagon has 9 diagonals. How many Lines of Symmetry are there in a Regular Hexagon? A regular hexagon is one in which all of the sides and interior angles of the hexagon are equal. A regular hexagon is always convex. The figure below shows a regular hexagon example:

This handy hexagon template worksheet gives your children the opportunity to show how much they've learned about this topic.The following are various properties of all hexagons as well as properties of a regular hexagon. Properties of all hexagons Just as a reminder, the apothem is the distance between the midpoint of any side and the center. You can view it as the height of the equilateral triangle formed by taking one side and two radii of the hexagon (each of the colored areas in the image above). Alternatively, one can also think about the apothem as the distance between the center, and any side of the hexagon since the Euclidean distance is defined using a perpendicular line. Hexagons can be classified based on their side lengths and internal angles. Considering the sides and angles of a hexagon, the types of the hexagon are:

To find the perimeter of an irregular hexagon, find the sum of the lengths of the sides of the hexagon. 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. Hexagon diagonalsA hexagon has six sides. All six sides join together and form a closed shape known as a hexagon. In a regular hexagon, all six sides are of equal lengths, while in an irregular hexagon, there is no definite relationship between the sides as they are different in measure. What is the Perimeter of a Hexagon?

The formula to calculate the regular hexagon perimeter is 6a, where 'a' is the side length of the hexagon. In the case of an irregular hexagon, we add the side lengths. Mathematically, it can be expressed as,

If you want to get exotic, you can play around with other different shapes. For example, suppose you divide the hexagon in half (from vertex to vertex). In that case, you get two trapezoids, and you can calculate the area of the hexagon as the sum of them. You could also combine two adjacent triangles to construct a total of 3 different rhombuses and calculate the area of each separately. You can even decompose the hexagon in one big rectangle (using the short diagonals) and 2 isosceles triangles! Since one of the interior angles of the hexagon has a measure greater than 180°, the hexagon is a concave hexagon. Hexagon properties A hexagon has 9 diagonals. A regular hexagon has 6 short diagonals and 3 long diagonals. The diagonals of a hexagon are line segments joining two non-consecutive vertices. Three diagonals can be drawn from each vertex for a total of nine diagonals in any hexagon.

A hexagon has six angles and the sum of all six interior angles is 720°. In a regular hexagon, each interior angle measures 120°. What is a Regular Hexagon? A hexagon is a two-dimensional polygon with 6 sides and 6 angles. The prefix "hexa" denotes the number 6. Below are three hexagon examples. I had attempted to go with the graph paper option, and tracing out my own shapes…but I just don’t have time for that. I also could haveAnd this Hexagon Father's Day Card Template is great for creative lessons. Build on this hexagon template resource until your pupils fully understand the topic. Where A₀ means the area of each of the equilateral triangles in which we have divided the hexagon. After multiplying this area by six (because we have 6 triangles), we get the hexagon area formula: We can determine the area of a hexagon by identifying the length of the side of the hexagon. To find the area of a regular hexagon we use the formula, A = (3√3 S 2)/2 square units, where S is the length of one side. What is the Formula to Calculate the Perimeter of a Hexagon? Notice that the lengths of the sides, and therefore the measures of the interior angles, are not all equal. Also, none of the interior angles is larger than 180°, so the hexagon is convex. Concave hexagon where P is the perimeter and a is the apothem of the hexagon represented by the dotted red line in the figure below: