Answer
A path is a sequence of adjacent vertices. Two vertices are adjacent if there is an edge which connects the two vertices. Also note that in a path, an edge which connects two adjacent vertices may not be used more than once.
A circuit is a specific type of path. A circuit is a path which begins and ends at the same vertex.
Work Step by Step
A path is a sequence of adjacent vertices. Two vertices are adjacent if there is an edge which connects the two vertices. Also note that in a path, an edge which connects two adjacent vertices may not be used more than once.
A circuit is a specific type of path. A circuit is a path which begins and ends at the same vertex.
Therefore, every circuit is a path, but not every path is a circuit. If a path begins at one vertex and ends at a different vertex, then the path is not a circuit.