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Determine the centroid $$(x_c, y_c)$$ of the shaded area as shown in Figure with respect to given coordinate axes
$$\left(b, \frac{28 + 3\pi}{3 (8 + \pi)} b \right)$$
$$\left(\frac {b}{2}, \frac{12 + 2\pi}{4 (2 + \pi)} b \right)$$
$$\left(b, \frac{5}{(8 + \pi)} b \right)$$
$$\left(b, \frac{1 + 2\pi}{2 (8 + \pi)} b \right)$$
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