Centroid of a length, Area and volume
Centroid of a length: The centroid of length l of a curve in space is given by,
In, words it is the ratio of the first moment of length element to the total length.
An example: Determine the centroid of a semicircle arc.
Hence, the center of mass lies at x-axis at a distance of 2r/p from the center
Centroid of an area: The centroid of an area is defined as,
Let the centroid be given by,