Center of Mass: Plate with hole

[turandorf]

Homework Statement

A uniform circular plate of radius 14 cm has a circular hole of radius 2 cm cut out of it. The center of the plate is at the origin of the coordinate system and the center of the hole is located along the x-axis a distance 4 cm from the origin. What is the position of the center of mass of the plate with the hole in it?

Homework Equations

Center of Mass (x)= (m1x1+m2x2)/(m1+m2)

The Attempt at a Solution

This one has me confused. I know that the hole will move the center of mass, but I'm not sure how. Any help would be appreciated! Thanks!

 

[Doc Al]

Finding the center of mass of two uniform disks would be easy (I hope you'll agree). How can you represent the plate with hole as two uniform disks? Hint: 1 - 1 = 0.