ComponentMeasurements measures each component independently.
An example with an image from the documentation:
With[{segmentation = MorphologicalComponents[image]},
Show[
image,
Graphics[{Red, Thick,
Rotate[Circle @@ #[[{1, 2}]], #[[3]]] & /@
ComponentMeasurements[segmentation, {"Centroid", "SemiAxes", "Orientation"}][[All, 2]]}]
]
]
