How To Calculate The Area Of A Regular Octagon

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How to Calculate the Area of a Regular Octagon

What is a Regular Octagon?

A regular octagon is a shape with eight sides of equal length. It is one of the most versatile shapes since it can be used for a variety of purposes, from creating a decorative border to building a structure. To calculate the area of a regular octagon, you need to know the length of one side of the octagon.

The Formula

The formula for calculating the area of a regular octagon is as follows: Area = 2a2(1 + √2). Where a is the length of one side of the octagon.

Step-by-Step Guide

Here is a step-by-step guide on how to calculate the area of a regular octagon:

  1. Measure the length of one side of the octagon.
  2. Plug the length of one side into the formula: Area = 2a2(1 + √2).
  3. Calculate the area of the octagon.

Example

Let's take a look at a practical example. If the length of one side of the octagon is 10 cm, then the area of the octagon would be: Area = 2(10 cm)2(1 + √2) = 400 cm2.

Conclusion

As you can see, calculating the area of a regular octagon is relatively simple, as long as you have the length of one side of the octagon. It is a useful formula to keep in mind for future projects.

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