Question

What are the x and y coordinates of the centroid of the area?

Answer 1

Answer:

$\\X_{C.G}=\frac{\int xdA}{A}\\Y_{C.G}=\frac{\int ydA}{A}$

Explanation:

The x co-ordinate of the centroid is given by:

$x_{C.G}=\frac{\int xdA}{A}$

The y co-ordinate of the centroid is given by:

$Y_{C.G}=\frac{\int ydA}{A}$

where

$x^{}$ is the x co-ordinate of a diffrential area $dA$

and $y^{}$  is the x co-ordinate of a diffrential area  $dA$

See attached figure