Apothem Calculator





Formula

The formula to calculate the apothem of any polygon is:

\[ a = \frac{S}{2 \cdot \tan\left(\frac{180}{n}\right)} \]

Where:

What is an Apothem?

An apothem is defined as the distance between the center of a polygon and the center of any of its sides. It is a useful measure in various geometric calculations, especially for regular polygons.

Example Calculation

Let's assume the following values:

Step 1: Calculate the apothem using the formula:

\[ a = \frac{10}{2 \cdot \tan\left(\frac{180}{6}\right)} \]

Step 2: Simplify the expression:

\[ a = \frac{10}{2 \cdot \tan(30^\circ)} \approx \frac{10}{2 \cdot 0.5774} \approx \frac{10}{1.1548} \approx 8.66 \]

The Apothem (a) is approximately 8.66 units.