Solution: For a regular hexagon inscribed in a circle, the side length equals the radius $ r $. Thus, $ r = 3 $ cm. The circumference $ C $ is:

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**Why the Side of a Regular Hexagon Equals the Circle’s Radius—And Why It Matters** What if the geometry of a simple shape revealed a timeless mathematical truth? For a regular hexagon inscribed in a circle, the side length equals the circle’s radius — $ r = 3 $ cm — a straightforward but often overlooked essence in circular geometry. Differentiating this relationship isn’t just textbook knowledge — it’s a foundation shaping design, architecture, and modern data visualization. In fact, understanding this principle is increasingly relevant in a U.S.-wide interest in efficient design, sustainable planning, and accurate spatial modeling. --- ### The Growing Interest in Geometric Precision