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Octagon – Definition & Properties

In geometry, the shape octagon is characterized as a polygon with 8 sides & 8 angles. There are 8 vertices as well as a total of 8 edges, for a maximum of 7 vertices as well as 8 edges. An octagon is defined as a two-dimensional flat structure having 8 sides. Each of the sides of an octagon is linked with each endpoint to make a structure. Their sides remain parallel to each other; they are not twisted or linked in any way.

What is a Hexagon?

What is the first thing that leaps to mind when you hear the word hexagon? Let’s talk about what a hexagon is. As the name implies, a hexagon may be broken into 2 parts: the very first “hex,” which indicates six, as well as the second-word “gon,” which can be described as any particular figure’s angle or edge. The name hexagon comes from Greek terminology. The shape is called a hexagon because it has a total of six sides.

A hexagon is also known as a 6 – sided shape. Any given hexagon’s interior angles add up to 120 °. In this post, we’ll learn more about hexagons and their characteristics.

How Many Sides Does a Hexagon Have?

A hexagon is defined as a geometric polygon having 6 sides as well as angles in 2 dimensions. It has no rounded or curved sides, with all of its lines that are straight. The internal angles of a regular hexagon sum up to a total of 720 degrees.

When wondering “how many sides does a hexagon have?” it’s useful to know whatever sort of hexagon we’re talking about. Every hexagon has 6 sides, each having its unique set of properties.

Hexagons are available in four distinct forms. Hexagons are classified into four categories: regular hexagons, irregular hexagons, concave hexagons, & convex hexagons. If you really want to learn more about the subject, you may go to the Cuemath website, which can help you comprehend it in a fun & fascinating way.

How to Determine the Perimeter of any given Hexagon?

Let’s look at how to get the perimeter of any hexagon. The perimeter is calculated by multiplying six times the length of a hexagon’s side.

Example 1: Any hexagon, for example, has a side length of 5 cm. Determine the hexagon’s perimeter.

The formula to calculate the perimeter of the hexagon is equal to 6*side

We’ve previously learned how to calculate the perimeter of a hexagon, 6*5, which is equal to 30 cm.

Octagon’s Perimeter

Now calculate the perimeter of an octagon. Because all sides of an octagon have equal length.

The circumference of an octagon is calculated as 8 * specific side.

Example 1:  Suppose there is an octagon with all of its sides measuring 6 cm. How do you find the octagon’s perimeter?

Solution:

The octagon’s circumference = 8* side

As a result, the circumference of the supplied octagon is 8*6 = 48 cm.

Example 2: For example, an octagon has a side length of 5 cm. Determine the octagon’s perimeter.

Solution:

Side of the given octagon = 5 cm

The formula to calculate the perimeter of the octagon is equal to 8*side

We’ve previously learned how to calculate the perimeter of an octagon, 8*5, which is equal to 40 cm.

Octagons, Regular and Irregular Octagons

Any regular octagon is defined as a closed object with equal-length sides as well as interior angles which are of equal length. It has 8 symmetric lines along with a rotating equilibrium of order 8. The internal angle of a given regular octagon at every vertex is 135 degrees. The median angle measures 45 °.

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