The formula to calculate the apothem of any polygon is:
\[ a = \frac{S}{2 \cdot \tan\left(\frac{180}{n}\right)} \]
Where:
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.
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.
