The diameter of the larger circle in the figure shown above is x . What is the area of the shaded region, if the radius of the smaller circle is half of the radius of the larger circle?

(A) $\(\frac{2 \pi x^2}{16}\)$

(B) $\(\frac{3 \pi x^2}{16}\)$

(C) $\(\frac{4 \pi x^2}{16}\)$

(D) $\(\frac{3 \pi x}{4}\)$

(E) $\(\pi x\)$