English | Español

Octagon Area Formula

There are 2 ways to find the area of an octagon. The first only needs the side length. The second also uses the apothem.

Using the Side Length

When you only know the length of one side, use this formula:

Octagon area formula using side length
Aarea of the octagon 8number of sides tlength of each side tantangent function (in radians)

Using the Apothem

If you also know the apothem, you can use either of these equivalent expressions:

Octagon area formula using apothem
Aarea of the octagon Pperimeter of the octagon alength of the apothem 8number of sides tlength of each side

Both expressions are equivalent and give the same answer.

What Is the Apothem?

In a regular polygon like an octagon, the apothem is the shortest distance from the center to any side. The image below shows it clearly:

Octagon Apothem

More About the Octagon

Click on any element to learn more.

Explore More Shapes