Determine the centroid $$(x_c, y_c)$$ of the shaded area as shown in Figure with respect to given coordinate axes

A

$$\left(b, \frac{28 + 3\pi}{3 (8 + \pi)} b \right)$$

B

$$\left(\frac {b}{2}, \frac{12 + 2\pi}{4 (2 + \pi)} b \right)$$

C

$$\left(b, \frac{5}{(8 + \pi)} b \right)$$

D

$$\left(b, \frac{1 + 2\pi}{2 (8 + \pi)} b \right)$$