The arc length $ s $ of a circular sector is given by the formula:

["Why The Arc Length $ s $ of a Circular Sector Is Gaining Attention in the US—And How It Matters", "Curious about the curves shaping modern design, engineering, and even everyday intuition? The arc length $ s $ of a circular sector is defined by the simple yet powerful formula: \n**$ s = r \cdot \ heta $**, \nwhere $ r $ is the radius of the circle and $ \ heta $ is the angle in radians. This equation governs how distances traverse curved pathways—each segment a fraction of a larger circle’s embrace. Far more than a math abstraction, this concept fuels innovations in architecture, robotics, navigation, and product design, making it increasingly relevant in today’s data-driven and precision-oriented world.", "In recent months, interest in this formula has grown"]