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A fairly easy method is to draw a chord in the circle … say 8" across. Then draw a perpendicular line from the exact middle of that chord through the center of the circle. You can then repeat this a few times around the circle and where the perpendicular lines meet should be the exact center of the circle. I would recommend at least three to get a good reference.
Or if you use Easel, Select the Left Front Corner XYZ with Offset option and enter the Radius of your circle as the Offsett value for the X and Y axis.