What is octagonal shape

Usually, the convex octagons tend to have an outward bump. Street signs such as the stop signs are typically constructed in the shape of an octagon. The octagon shape is usually preferred to create road warning signs to ensure that the driver facing the back of the sign is also able to understand what the signboard indicates. Clocks are manufactured in a variety of shapes and sizes such as cube, cuboid, hexagon, heptagon, octagon, etc.

One of the most popular two-dimensional geometric shapes used to manufacture tiles is an octagon. Some of the drinking glasses are often shaped like an octagonal prism. If you look at the base of such a glass, you can easily visualize the two-dimensional octagon geometric shape. It is expressed in square units like inches 2 , cm 2, and so on. For example, if one side of a regular octagon is 6 units, let us find the area of the octagon. In case of an irregular octagon, there is no specific formula to find its area.

We divide the octagon into smaller figures like triangles. Then, after calculating the area of all the triangles, we add their areas to get the area of the octagon. The perimeter of a polygon is the total length of its boundary.

In order to calculate the perimeter of an octagon, the length of all the sides should be known. We know that in a regular octagon, all the sides are of equal length. Therefore, the formula that is used to find its perimeter is,.

Example 1: How many triangles can be formed by joining the vertices of an octagon? In a regular octagon, by joining one vertex to the remaining vertices, 6 triangles can be formed. Example 2: Find the length of each side of a regular octagon if the perimeter of the octagon is units. According to the regular octagon definition, all its sides are of equal length. Here, the perimeter is given as units. Therefore, the length of each side of the octagon is 20 units.

The sides of a regular octagon are of equal length. Therefore, the area of the octagon is Octagon is an eight-sided two-dimensional geometrical figure which consists of 8 interior angles and 8 exterior angles. There are 8 interior angles and 8 respective exterior angles in an octagon.

A regular octagon is one in which all the sides are of equal length and all the interior angles are of equal measure. The perimeter of an octagon is the total length of its boundary. The perimeter of an octagon is expressed in linear units like inches, cm, and so on. It is expressed in square units like inches 2 , cm 2 , and so on.

Using a common vertex, and with the help of diagonals, 6 triangles can be formed in an octagon. The side length of an octagon can be calculated if the perimeter and the other sides are given. The sum of the given sides can be reduced from the perimeter to get the value of the unknown side. Find the area of a regular octagon having each side measuring 12 cm.

The angle formed inside the octagon at its corners when the line segments join in an end-to-end fashion. The total measure of all the interior angles combined in the octagon. The formula is given below:. The measure of one interior angle can be obtained by dividing the sum of the interior angles with the number of sides in an octagon.

The angle formed by any side of the octagon and the extension of its adjacent side. The line segments joining opposite corners in an octagon are its diagonal. In total, a regular octagon has 20 diagonals. There are three types of diagonals in them based on length, they are:.

Find the length of the longest diagonal of a regular octagon having each side measuring 5. Depending on the sides, angles, and vertices, octagon shapes are classified into the following types:. Your email address will not be published. Save my name, email, and website in this browser for the next time I comment.