Answer:
[tex]\\X_{C.G}=\frac{\int xdA}{A}\\Y_{C.G}=\frac{\int ydA}{A}[/tex]
Explanation:
The x co-ordinate of the centroid is given by:
[tex]x_{C.G}=\frac{\int xdA}{A}[/tex]
The y co-ordinate of the centroid is given by:
[tex]Y_{C.G}=\frac{\int ydA}{A}[/tex]
where
[tex]x^{}[/tex] is the x co-ordinate of a diffrential area [tex]dA[/tex]
and [tex]y^{}[/tex] is the x co-ordinate of a diffrential area [tex]dA[/tex]
See attached figure
