If the machine is using standard ISO code format, the structure of your arc movements should be:
G X Y I J F
where I = the X value of the arc center, and J = the Y value of the arc center.
There are two possible systems that the arc center can be calculated on: absolute arc center coordinates or incremental arc center coordinates. Machintek could likely tell you which way it should be for this controller.
The arc center coordinates have to be accurately calculated, or your machine may alarm, or it may take a funky "corrective action" to get to the final coordinates in XY that you specified in your G02/G03.