To calculate the radius (R) of a regular hexagon:
\[ R = \frac{s}{\left(\frac{\sqrt{3}}{2}\right)} \]
Where:
The radius of a regular hexagon is the distance from the center of the hexagon to any of its vertices. It is a key measurement in geometry and is used in various applications, including engineering, design, and architecture. The radius helps in determining the size and area of the hexagon and is essential for constructing geometric shapes and patterns.
Let's assume the following values:
Step 1: Use the radius calculation formula:
\[ R = \frac{10}{\left(\frac{\sqrt{3}}{2}\right)} \approx 11.55 \text{ units} \]
The radius of the hexagon is approximately 11.55 units.