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Problem relating to centroid

The asking problem:
For the semiannular area, determine the ratio of r1 to r2 for which the centroid of the area is located at
x=-1/2*r2 and y=0.
Note: This problem is a 2D problem and not a 3D. It was taken from the ┬źDistributed forces: Centroids and Centers of Gravity┬╗ section of my static course. The files is in word97 format for PC and not for Mac.

So, my question is how can I find this ratio of r1 to r2? I have none idea about that!!

If you will check your answers:
The response is 0.520