Which of the following methods is used for developing patterns for complex shapes?

The radial line method is particularly effective for developing patterns for complex shapes because it systematically approaches the task of creating curves and irregular geometries. This method involves establishing a central point and drawing lines radiating outward to define points on the outline of the shape being developed. This is especially useful in sheet metal fabrication where parts may have rounded sections or require precise angle layouts to avoid material waste.

In the context of more complex shapes, the radial line method allows for a clear and organized approach to sketching the contours that are not easily derived from traditional straight-edge techniques. It ensures that the geometric relationships are maintained, which is crucial when transitioning from a flat pattern to a three-dimensional object.

Other methods like the segment method, parallel line method, and conical method are more suited to specific types of geometric shapes or simpler designs and may not accommodate the intricate details required for complex configurations. The segment method focuses on breaking down a shape into manageable linear components; the parallel line method is ideal for uniform shapes but might not handle curves effectively; while the conical method is specifically used for objects with a conical shape, limiting its applicability to complex designs.