How to find the center of a circle moving and rotating in space having the coords of 3 points on the circle?

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consider a circular plate with radius R , with three points on it at arbitrary coordinates on the plate area that form a triangle. Just imagine 3 holes on the plate area

If I can have the new coordinates of these 3 points when the circular plate translates and rotates in space, how can I find the new coordinates of the circle plate center in space ?