Enter the length of any side and total number of sides of the polygon into the calculator to determine the apothem.

## Apothem Formula

The following formula can be used to calculate an apothem of any polygon.

a = S / (2*tan(180/n))

- Where a is the apothem
- S is the length of any side
- n is the total number of sides

## FAQ

**What is an apothem?**

An apothem is the distance of a line that starts at the center of a polygon and ends at the center of one of the sides.

**How do you find the apothem?**

The apothem can be found using the formula above, but it also can be found using the number of sides and the circumradius.

## Example

How to calculate an apothem?

**First, determine the number of sides.**Measure the total number of sides. For example a hexagon would have six sides.

**Next, determine the length of any side.**Since the length of all sides on a polygon are equal, you can choose any side to measure.

**Finally, calculate the apothem.**Input the side length and number of sides into the formula to calculate the apothem.

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