How many sides does a octagon have

Octagon is an eight-sided two-dimensional geometrical figure. An octagon consists of 8 interior angles and 8 exterior angles.

Now, what is a polygon? Very simple. It is a closed plane figure with at least three straight sides and angles, typically five or more. You are already familiar with some of my family members, like the triangle and the square. A stop sign is generally in the an octagon shape —a closed two-dimensional figure with eight sides and eight vertices. Depending on the measure of the sides and angles, octagons can be classified into the following types:. A regular octagon shape has eight equal sides and eight equal angles.

How many sides does a octagon have

In geometry, Octagon is a polygon that has 8 sides and 8 angles. That means the number of vertices and edges of an octagon is 8, respectively. In simple words, the octagon is an 8-sided polygon , also called 8-gon, in a two-dimensional plane. A regular octagon will have all its sides equal in length. In this article, let us discuss the octagon shape, its formulas, properties, and examples in detail. An octagon is a closed two-dimensional figure with eight sides, eight vertices and eight interior angles. If all the sides and interior angles of an octagon are of equal measure, then it is called a regular octagon otherwise an irregular octagon. The other types of octagons such as convex and concave octagons are also explained in the next sections. Octagon is a geometrical shape in a two-dimensional plane. Like the other polygon shapes, which we have studied in geometry, suc h as triangle , square, pentagon, hexagon, rectangle, etc. The point which defines it as different from other geometrical shapes is that it has 8 sides and 8 angles. If squares are built internally or externally on all the sides of an octagon, then the midpoints of the sections joining the centers of opposite squares form a quadrilateral: equi-diagonal and ortho-diagonal whose diagonals length are equal and they bisect each other at 90 degrees. You can see in the above figure, there are 8 sides of the polygon and eight vertices as well.

Medium diagonal m. A regular octagon is a closed shape with sides of equal length and interior angles of the same measurement.

The regular octagon is the regular polygon with eight sides, as illustrated above. The inradius , circumradius , and area of the regular octagon can be computed directly from the formulas for a general regular polygon with side length and sides as. The vertex angle , central angle , and exterior angle are given by. The octagon with alternate sides parallel to the - or -axes as illustrated above is the shape used for traffic stop signs in the United States. An octagon with inradius 1 in this orientation can be specified by the inequalities. The octagon may also be orientated so that its vertices lie along the - and -axes and at degree angles to them, as illustrated above.

The shape of an octagon depends on the type of octagon. An irregular octagon just needs to have 8 sides and 8 angles but can take on almost any shape. A regular octagon has sides that have the same length and angle measures that are all the same. A stop sign is an example of an everyday object is in the shape of an octagon. The figure below shows some irregular and regular octagons. A regular octagon is an octagon whose sides are equal in length and whose interior angles are equal in measure. If not all of the sides and interior angles of an octagon are equal, it is an irregular octagon. The octagon below has varying sides and angles, so it is irregular.

How many sides does a octagon have

Hello and welcome to the octagon calculator , the ultimate tool for everything octangular. Here, we hope you will find an excellent tool for calculating the diagonals, perimeter, circumradius, inradius, and area of a regular octagon. In this octagon area calculator, you will also find the answers to the following questions: what is an octagon, how many sides does an octagon have, how to find the area of a regular octagon or how to draw an octagon. We will review the octagon definition, discuss the octagon angles and how they affect the octagon shape. On top of all that, we will see a few examples of real-world octagons including octagon tiles, flooring, and the famous "Octagon house". The standard definition of an octagon is something along the lines of, "An octagon is a polygon with 8 sides delimiting a closed area. That is because " Octo- " in Greek means eight, so it is safe to assume an octagon has eight sides or that an octopus has eight legs.

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If squares are built internally or externally on all the sides of an octagon, then the midpoints of the sections joining the centers of opposite squares form a quadrilateral: equi-diagonal and ortho-diagonal whose diagonals length are equal and they bisect each other at 90 degrees. In this case, the hypotenuse is also the side of the octagon. Here are the formulas for their length: [ citation needed ]. You can notice that the circumradius is simply half of the length of the longest diagonal:. Diagonals of a regular octagon Circumradius and inradius Octagon shape: How to draw an octagon? The circumradius of the regular octagon in terms of the side length a is [3]. The perimeter of an octagon is the total length of its boundary. A regular octagon shape has eight equal sides and eight equal angles. If the base of a pyramid is an octagon, then we call it an octagonal pyramid. That is the reason why it is called an octagon. For an irregular octagon shape , the perimeter is calculated by adding together the individual side lengths. There are a total of 8 sides in an octagon, and those eight sides are parallel to their respective opposite side in the case of a regular octagon. Perimeter Of A Parallelogram.

Now, what is a polygon? Very simple. It is a closed plane figure with at least three straight sides and angles, typically five or more.

Read Edit View history. Shortest diagonal s. Great learning in high school using simple cues. Truncated 8-cube. If the octagon has unequal side length and angle, then it is called an irregular octagon. An octagon with inradius 1 in this orientation can be specified by the inequalities. Therefore, there are 20 diagonals in an octagon. In this case, there are 8 sides in an octagon. When all these eight sides are equal in length, it is known as a regular octagon, whereas when even at least one of the sides is different in measurement, it is known as an irregular octagon. But if it has unequal sides and unequal angles, it is defined as an irregular octagon. However, if we consider all the vertices independently, we would have a total of triangles. Solution : The length of the side of the given regular octagon is 10 cm. Octagon shape: How to draw an octagon? Our Journey. Example 3.