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. A convex hexagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°. 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. Given that we know these measures, the formula for the area of a regular hexagon using its apothem is, A hexagon is a two-dimensional flat shape that has six angles, six edges, and six vertices. It can have equal or unequal sides and interior angles. It is a 6-sided polygon classified into two main types - regular and irregular hexagon. What are the Angles of a Hexagon?

A hexagon is classified based on the side lengths and angles. Based on this, hexagons are classified into the following types: A hexagon is a flat two-dimensional six sided shape. It may or may not have equal sides and angles. Based on these facts, the important properties of a hexagon are as follows: The following are various properties of all hexagons as well as properties of a regular hexagon. Properties of all hexagons In a hexagon, the sum of all 6 interior angles is always 720º. The sum of interior angles of a polygon is calculated using the formula, (n-2) × 180°, where 'n' is the number of sides of the polygon. Since a hexagon has 6 sides, taking 'n' as 6 we get (6-2) × 180°, which gives 720°. How many Diagonals does a Regular Hexagon have?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! Irregular Hexagon: This is a hexagon that has sides and angles of different measurements. All the internal angles are not equal to 120°. But, the sum of all interior angles is the same, i.e., 720°.

For a regular hexagon, the length of the long diagonal is , where s is the length of the side of the hexagon; the length of the short diagonal is where a is the apothem. Refer to the figure below. All polygons have interior and exterior angles. A pair of interior and exterior angles form a straight line and therefore add to 180 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. A 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?

Interior angles of a hexagon

A fascinating example in this video is that of the soap bubbles. When you create a bubble using water, soap, and some of your own breath, it always has a spherical shape. This result is because the volume of a sphere is the largest of any other object for a given surface area. A concave hexagon is a hexagon in which at least one of the interior angles has a measure greater than 180°. A concave hexagon cannot be a regular hexagon; it is always an irregular hexagon. The figure below shows a concave hexagon example:

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 diagonals 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:

Types of hexagons

A regular hexagon is defined as a special type of hexagon that has all sides equal. All six angles in a regular hexagon are also equal. How many Sides does a Hexagon have? For all regular polygons, the number of lines of symmetry is equal to the number of sides. Thus, for a regular hexagon, there are six lines of symmetry. How to Find the Area of a Hexagon? A hexagon is a 6-sided geometric figure commonly found in everyday life. Some hexagons in real life include honeycomb and the nut that a threaded bolt is screwed into. Each cell that makes up a honeycomb is in the shape of a hexagon. Since one of the interior angles of the hexagon has a measure greater than 180°, the hexagon is a concave hexagon. Hexagon properties