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symmetry principle
[symmetry principle|symmetry principle] states that a symmetric region's centroid lies on its axis of symmetry.
Definition
symmetry principle states that a symmetric region's centroid lies on its axis of symmetry. It also relates to volume calculation via the theorem of Pappus.
Mechanism
symmetry principle The region is symmetric with respect to the y-axis. By the symmetry principle, the centroid of R is the center of the circle.
Effects
symmetry principle The symmetry principle ensures the center of mass of a rectangular lamina lies at the intersection of its diagonals, a point derived from the principle's application.