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**[SOLVED] centroid of a moebius strip**

Since the edge of a moebius strip is topologically equivalent to a circle, we can cut a disk form an euclidean 2D plane and sew a moebius strip on its place. Now we have a 2D space with a circular-edged moebius strip added. And now this strip is a 2D region in 2D space and we can talk abut its interior, exterior, border, area, centroid, etc. Where is this moebius strip's centroid? (we should be able to define it with the strip's width and radius.