Discussion
The centroid of a plane area is found by
Answer: B
The coordinate of the centroid is \( \bar{x} = \left(\int x\,dA\right)/\left(\int dA\right) \), a weighted mean in which each element of area is weighted by its distance. Averaging the extreme coordinates would locate the centre of the bounding box, which coincides with the centroid only for a symmetric region
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