This article presents four techniques for assessing verticality: the plumb line approach, the total station distance technique, the three-point centering method, and the centroid method. Given the significant error associated with the total station horizontal distance technique when measuring circular piers, this paper proposes the centroid method. This method calculates verticality by determining the coordinates of the center points at both ends of the pier. Experimental findings indicate that the centroid method achieves accuracy in measuring the verticality of circular piers comparable to the three-point centering method, while offering a faster inspection process. Furthermore, the paper explores the concept of composite verticality and validates the effectiveness of the centroid method in measuring composite verticality and its practical applications through comparative experiments.