Area of an Octagon Calculator
Solving a figure to find different parameters is not always a simple task. The procedure to calculate different parameters become difficult with the increasing number of sides as well as the complexity of the figure. Many students find it difficult to find the area of an octagon because it has a maximum number of sides.
Do you also feel it is difficult? You should use this area of an octagon calculator. It is a handy online tool that can help you in this regard. To calculate the area of an octagon, you don’t need to be proficient in the field. You only have to insert the given measurements in this maths calculator to let the task be done and show you the final results. In the end, you will be able to get the area of that octagon with other parameters like diagonal length, radius length, and others.
Table of Contents
What is an octagon?
An octagon is a specific type of polygon that has 8 sides. The name has been derived from the Latin word “Octa” which means “8”. All the sides of this figure will be equal in length due to why it is also called a regular polygon.
Normally, all octagons are considered to be regular because of their equal measurements for all sides. But there is another rare. type of octagon too which is called irregular because its sides don’t have the same lengths. In a regular octagon, all angles are the same (135 degrees) and summed up to 1080 degrees.
What is the area of an octagon?
As an octagon is a closed figure which means it covers a specific part of the region. The space that comes under the 8 sides of the octagon will be termed as its area. Keep in mind that it is the region that is inside the lines of this shape not above the lines or outside it.
The area of a regular octagon is calculated using a specific formula. But before that, you should need to understand a few terms used specifically for this figure.
- Long Diagonal: The diagonal of an octagon that is drawn by joining two connecting points by passing from axes of symmetry.
- Apothem: The line that connects the side of an octagon with its center perpendicularly is called an apothem.
In addition to this, let us share some facts about an octagon.
- This figure has 20 diagonals.
- An octagon involves three major types of diagonals.
- All sides of an octagon are the same in length.
- An octagon has a maximum number of sides among other polygons.
- Every angle in an octagon is 135 degrees.
What is the area of an octagon formula?
Now, you have learned enough about octagons. It is time to learn how to find the area of an octagon and what is its formula. Here we have written the formula to let you understand it properly.
Area of an octagon = 2(1 + √2) s2 square units
Here, “s” is the length of one side of the octagon. By using this formula, you can find the area of an octagon easily. Keep in mind that the units of the area of an octagon will be square of the main unit. It means that if you have measurements in meters, the area will be calculated in square meters (meter2).
How to calculate the area of an octagon?
For the calculation of the area of an octagon, you only have to put the values in the above formula. Here we have solved an example to make it understandable for you.
Example 1:
Find the area of an octagon if the length of its side is 5 m.
Solution:
As we know, the formula for finding the area of an octagon, we have to put the values in it.
Area of an octagon = 2(1 + √2) s2 square units
Area of an octagon = 2(1 + √2) (5)2 m2
Area of an octagon = 120.71 m2
How to use the octagon calculator?
Sometimes, you may not want to find the area of an octagon manually. In such conditions, you should use this tool by Calculator’s Bag. Follow these steps to use it.
- Put the length of a side of the octagon in the input box
- This calculator will show all measurements including area, perimeter, and others.
FAQ | Area of an octagon
How do you find the area of an octagon?
To find the area of a regular octagon, you only have to follow this formula:
Area of an octagon = 2(1 + √2) s2 square units
Are all 8 sides of an octagon equal?
Yes, normally all 8 sides of an octagon are equal.
What is the sum of the angles of an octagon?
The sum of all angles of an octagon is 1080 degrees.
What is the rule of the area of the octagon?
The rule to find the area of an octagon is to find the length of the side first. Using this measurement, you can easily solve octagon’s area-related problems.
How to find the area of a regular octagon?
To find the area of a regular octagon, you only have to follow this formula:
Area of an octagon = 2(1 + √2) s2 square units
