👉 In geometry, a curve is defined as any smooth or continuous path that passes through a fixed point in a plane. The curvature of a curve refers to its ability to bend and twist as it moves along the curve. Curvature is measured using the concept of "radius" at each point on the curve. A positive radius indicates a curve that is straight, while a negative radius indicates a curved shape. Curvatures are typically expressed in units such as meters per second squared (m/s²)