What four specific data points are required when showing a circular curve on a drawing?

To accurately depict a circular curve on a drawing, four essential data points are necessary: radius, arc length, chord distance, and chord bearing.

The radius is crucial as it defines the size of the circular curve; it is the distance from the center of the curve to any point on its circumference. The arc length provides the length of the curve itself, which is the distance measured along the curve between the endpoints. The chord distance is the straight-line distance between the two endpoints of the arc, providing a more direct measure than the arc length when viewed in a straight line. Finally, the chord bearing indicates the angle formed by the chord relative to a reference direction, which is vital for correctly orienting the curve in relation to other survey elements.

This set of data points is fundamental in surveying and designing roads, railways, and other features that require precise angular adjustments and smooth transitions, ensuring the curve is accurately represented in plans and layouts. The inclusion of radius and chord information, in particular, allows for effective calculations related to circular motion and alignment in civil engineering contexts.