How many octagon

An octagon in which the sides and angles are not congruent is an irregular octagon. In other words, an irregular Octagon has eight unequal sides and eight unequal angles. The octagon, which has all its angles pointing outside and no angle pointing inwards, is convex.

The diagonal of an octagon is the line segment that connects any two non-adjacent vertices. In this case, there are 8 sides in an octagon.

Therefore, there are 20 diagonals in an octagon. The area of an octagon is the total space occupied by it. 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. Octagon Meaning: The word Oct means 8 and gon means sides. Together it is known as an Octagon which is nothing but a polygon made of 8 sides.

Octagon belongs to the Polygon family. As we know there are many polygons in geometry such as Triangle, Square, Rectangle, Pentagon, Hexagon etc. A geometrical shape in a two-dimensional plane makes an Octagon. Eight straight lines that are connected from one end to another end make an Octagon. The shape of the Octagon is given below:.

In the above image, we can see that the shape of the Octagon can be seen in the top view of an umbrella and in the traffic signals stop signboard. An octagon whose sides and angles are equal is known as a regular octagon. An Octagon whose sides and angles are unequal is known as an irregular octagon. Refer to the image below to know what is a regular and irregular octagon. An octagon, whose angles are pointing outwards is known as a convex octagon. The angles of the convex octagon will not be more than degrees.

Whereas concave octagon is the octagon whose one of the angles is pointing inwards. Find the perimeter regular octagon whose side is 7 cm? Answer: The side of the Octagon is 7cm. Our octagon area calculator is capable of finding the radii of the circumscribed and inscribed circles. It might seem easy to draw an octagon at first, and, in principle, it is. Just draw any shape with eight straight sides and you're done. But normally, what people want to draw is not any octagon, but a regular octagon , as its is the octagon shape that comes to mind first.

So let's see how to draw an octagon as regularly and as easy as possible. But not everyone has such tools laying around so it is not a very practical method. To obtain the octagon shape we are looking for, it is best to start with its circumference , since it can be drawn by hand not recommended or by using a glass, cup or even a coin.

Another how to draw an octagon trick would be the one we have already discussed when learning how to find the area of an octagon with squares. Start by drawing a big square and then 'chop off' its corners. The mathematical term for this procedure is truncating the square. If you do it right, you will get a regular octagon shape out of it. This method is not as precise as the previous one, but it's easier to perform without any tools at all. Using the octagon calculator is too complicated, but just in case someone might have any doubts and for the sake of completeness, let's go over the features and uses of this octagon area calculator.

First of all, we should look at the different fields and what they mean. Now that you know what each of the parameters means, it is time to see how to use the octagon calculator to easily obtain the values you are looking for.

The best feature of this calculator is that it only requires one input to calculate the rest of the values. This is what makes the octagon calculator the fastest way to calculate any properties of an octagon, by a significant margin. So far we have talked about the octagon definition and how to draw an octagon.

We've seen pictures of octagons and even answered the now obvious question of how many sides does an octagon have. Now, it is time to see how octagons are used in real life. The octagon shape is easier to manufacture and use in designs than a circle, due to the flat sides and the octagon angles. We can often find octagon tiles as flooring or in a bathroom. There are even houses that have an octagon shape, most notably the famous " Octagon House ". The Octagon House is a house built in an octagonal shape in Washington D.

It follows the American "tradition" of naming buildings after their shape, as they did with the Pentagon. The Pentagon is the headquarters of the United States Department of Defence and was built in the shape of a regular pentagon.

The Octagon house has many interesting architectural features such a triangular service stairway, a bigger oval stairway and the obvious octagonal shape of the building.

On top of such unique characteristics, there are several ghost stories surrounding the house, partly because the owner was an important figure in the early American history.

Like any regular polygon, the octagon shape turns out to be useful in many different applications. We have already talked about making houses in an octagonal shape and, sticking with buildings, octagons are particularly popular when it comes to flooring , mostly in the form of octagon tiles. The shape of a regular octagon means that we can combine octagon tiles and square tiles to completely fill the floor of any room, no matter its square footage.

Using a different pattern in each type of tile, or by using different colors, this combinations would allow you to create a beautiful floor for your kitchen or bathroom. Just remember to use our tile calculator to assist you! When you see a picture of a bright source of light, you might have noticed that it looks like a star with a different number of pointy arm, depending on the camera. This is the key to figure out if your camera has an octagon aperture or not: the number of pointy arms is exactly equal to the numbers of sides of the polygon that makes up the aperture.

And how many sides does an octagon have? So you only need to look for 'star shapes' with 8 pointy arms and you'll know that this picture was taken using an octagonal aperture. It works every time - it's physics, and, more specifically, a diffraction pattern.

Embed Share via. Table of contents: Octagon definition: How many sides does an octagon have? Octagon angles: What is an octagon? Area of an octagon: How to find the area of a regular octagon? Diagonals of a regular octagon Circumradius and inradius Octagon shape: How to draw an octagon?