Which word describes an indirect or roundabout way of doing something?

The word "circuitous" is used to describe a path or method that is indirect or roundabout, often leading to a longer journey than necessary. This can be related to physical routes or to processes and methods of achieving a goal. Incorporating the notion of being not straightforward, circuitous implies navigating through various twists and turns instead of taking a direct approach.

In various contexts, such as communication, planning, or travel, a circuitous route may refer to actions or decisions that are unnecessarily complicated, avoiding a more direct and efficient path. This characteristic makes it clear why it fits the description given in the question.

The other words do not carry the same meaning. "Clamor" refers to loud noise or shouting, which doesn’t suggest a method of doing something. "Catalyst" signifies something that sparks change or an event but does not involve an indirect approach. "Coax" involves gently persuading someone to do something but is more about subtlety than the roundabout method itself. Hence, "circuitous" stands out as the best fit for describing an indirect way of doing something.