From a semi-circular lamina of radius (r), a circular lamina of radius (mathrm{r} / 2) is removed

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From a semi-circular lamina of radius \(r\), a circular lamina of radius \(\mathrm{r} / 2\) is removed as shown in Figure 11.26. Find the position of the centroid of the remaining part.

FIGURE 11.26:
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