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        The object in circular motion never gets closer to the center of the circle.
         The object does not get out of its circular path unless the inward force or string connecting the object is cut or blocked.

    The object does not go any closer to the center of the circle because it can't because it's centrifugal force or you can call it inertia tends to stay the object in it's previous position and that previous position is away from the center of the circle.