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When I do the same the numbers match. Whether I measure the sketch circle, the edge of the extrude o.d. or the circular face of the extrude, the perimeter or length all measure the same. You don't have a chamfer or radius on the edge do you?
Selecting an Edge produces a perimeter or circumference.
Selecting the Face results in area, perimeter and diameter. But because the face contains 2 Edges, the number or measurement is double for the perimeter.