


Centroid Of An Area 


The centroid of an area is similar to the center of mass of a body.
Calculating the centroid involves only the geometrical shape of the area.
The center of gravity will equal the centroid if the body is homogenous i.e. constant density.
Integration formulas for calculating the Centroid are:

When calculating the centroid of a complex shape. Divide the shape up into a combination of known shapes. Then use the the following formula:

The distance from the yaxis to the centroid is C_{x}
The distance from the xaxis to the centroid is C_{y}
The coordinates of the centroid are (C_{x} , C_{y})


