Hexagons are three-dimensional shapes with six angles. The most common type of hexagon has three equilateral triangles meeting at each of its corners. Like any shape, hexagons have fundamental properties that can be studied to understand how they interact with other shapes. These properties are the area, perimeter, and volume of the shape.
In this, you will learn about the Properties of Hexagon and as well as some others that are more dimensional that are essential to understanding how hexagons fit into a group of similar shapes.
- The three diagonals of a hexagon meet in a single point called the circumcenter. The circumcenter is located at a distance of 5/6 aside from each vertex. This distance creates six equilateral triangles surrounding the circumcenter.
- The area of a regular hexagon can be found by adding up all six equilateral triangles surrounding the circumcenter. When you do this, you find that the total area is 5/3 times as much as one triangle’s area.
- The circumradius of a hexagon is the distance from anyone vertex to the circumcenter. The length is equal to twice the distance from the vertex to the opposite side. This means the circumradius of a regular hexagon is 10 times as long as one side.
- The internal and external angles of a regular hexagon all measure 60°. This makes it possible to determine the sum of the interior angles using simple addition. The measure of each internal angle can be found by multiplying each vertex distance by 1 over 5 and adding them together. The sum of these numbers is equal to 360° or twice as much as one circle’s interior angle measure.
- The semiperimeter of a hexagon is equal to half its perimeter, which is equal to the sum of the lengths of each side added together. This can be written simply as formula_1, or formula_2 if you prefer.
- Hexagons can be divided into several smaller shapes called polygons. The total area of a polygon is the sum of all the areas of its sides, which leads to a formula for finding the area of a regular hexagon. This result shows that the total area is one-third as much as one triangle’s area.
- The total area of a hexagon with an even number of sides is the same as that of a triangle with half as many sides. The formula for this number can be found by dividing the total side length by two to find the radius of that triangle, then multiplying that by three to find its area.
- The total area of a hexagon with an odd number of sides is determined by adding up all the areas created by placing pairs of triangles next to each other.
- The perimeter of a hexagon is equal to the sum of the perimeters of all its sides. If the sides have an even number, this is equal to three times the length of one side, which can be found by multiplying half the sum of all sides by 3.
- The perimeter of a regular hexagon is also equal to six times its diameter. The formula for finding the radius, then multiply that by six will give you this same result.
The radius of a regular hexagon can be found by dividing the length of one side by the number of sides. The diameter can be found six times as long as this radius. Both of these values are equal to each other like any circle’s radius and diameter.
You have just read the information on the various properties of hexagons. This might help know how to find an area or perimeter of a hexagon or the ratio of circumference to diameter. Even though you have been provided with knowledge on the properties of hexagons, they are still important to understand because they can be used in a variety of ways. And if you are interested to learn Dodecahedron you can also visit Cuemath.