Center of Mass Problem: Finding Coordinates of a Half-Disk with Uniform Density

[Hexagram1000]

The Problem is the following:
One half of a uniform circular disk of radisu 1 meter lies in the xy-plane with its diameter along the y-axis, its center at the origin, and x>0. The mass of the hallf-disk is 3 kg. Find(xcoord of center of mass, y-coord of center of mass)
The equation of the center of mass of the coord is the following:
x coord of center of mass = $$\int$$x * density(x)AreaofSlice(x)dx$$\div$$$$\int$$density(x)dx

or
x coord = $$\int$$massofslice * x $$\div$$$$\div$$ massofslice

How would you do this problem

 

[mjsd]

new to PF?

How would you do this problem

it is more than just how we would do this problem but we wish to know how you may tackle it too.


hint: perhaps first sort out what those entries in the equation mean and then go fromt there