Octagon is the polygon in the world of geometry that has eight sides and eight angles. This particular concept very well means that number of vertices will be eight and the number of edges in this particular shape will also be eight. In very simple terms this is considered to be the eight-sided polygon which will be based upon a two-dimensional plane figure and every side of this particular shape will be perfectly joint from end to end to form a comprehensive shape. There are different kinds of straight lines in this particular shape and every interior angle of the regular octagon will be 135°. So, the measure of every exterior angle will be 45°.
It is crucial for people to be clear about different kinds of shapes in the world of mathematics and further having a good command over the octagon is important because this is one of the most important two-dimensional planes in the world of mathematics. If the squares are built internally or externally on all the sides of the octagon then the midpoint of the section joining the centre of the opposite square will always help in forming out a quadrilateral which will be orthodiagonal and equidiagonal.
This particular type of shape is very easily available in different kinds of real-life examples and further being clear about several other kinds of polygons in the industry for example heptagon, decagon, triangle, Pentagon and several other kinds of things is important for kids to make sure that they are always on the right track of making right decisions. The outline of the umbrella with 8 ribs, the stop signboard at the signal and the wall clock with eight edges is the perfect example of the shape of the octagon in the real life of individuals.
People need to be clear about the understanding of the basic concepts so that there is no issue at any point in time and overall goals are very easily achieved. Some of the basic categories of the octagon have been explained as follows:
- Whenever the octagon will be having all sides equal and every angle will be equal then it will be known as the regular octagon but if the sides and angles are equal then it will be known as an irregular octagon.
- Whenever the octagon will be having all of the angles pointing outside and no angle will be pointing inside then it will be known as a convex octagon and on the other hand, if the angles of the octagon are pointing inwards that it will be known as a concave-shaped octagon.
Apart from all the above-mentioned points people need to be clear about different kinds of formulations associated with the shape of the octagon for example for any kind of inside it for it and people can simply go with the option of finding out the diagonals with the utilisation of the formula which has been explained as:
So, in the cases of the octagon, the number of diagonals will come out to be 20 in this particular case without any kind of doubt. Apart from this people also need to be clear about the perimeter of the octagon which will be the sum of all the sides so that there is no issue at any point in time and overall goals are very easily achieved. Hence, being clear about the basic properties of the octagonal is important for kids who score well in the exams. Further, depending upon platforms like Cuemath is the wisest decision to have a good command over the different shapes like hexagon, octagon, circle, triangle and various other kinds of things.