Is this statement true or false? The side length of a regular hexagon is equal to the length of the radius.

**True.** In a regular hexagon (a six-sided polygon with all sides and angles equal), the relationship between the side length and the radius is direct. Here's why: - **Circumradius Definition:** The radius (often referred to as the circumradius in the context of polygons) is the distance from the center of the hexagon to any of its vertices. - **Mathematical Relationship:** For a regular \( n \)-sided polygon, the side length \( s \) and the circumradius \( R \) are related by the formula: \[ s = 2R \sin\left(\frac{\pi}{n}\right) \] Substituting \( n = 6 \) for a hexagon: \[ s = 2R \sin\left(\frac{\pi}{6}\right) = 2R \times \frac{1}{2} = R \] This shows that the side length \( s \) is equal to the circumradius \( R \) in a regular hexagon. Therefore, the statement "The side length of a regular hexagon is equal to the length of the radius" is **true**.