In the given figure,$y$ is both the radius of the larger circle and the diameter of the smaller circle. Find the area of the shaded region.

  • A
    $\frac{3}{7} \pi y^{2}$
  • B
    $\frac{3}{4} \pi y^{2}$
  • C
    $\frac{1}{4} \pi y^{2}$
  • D
    $\frac{1}{3} \pi y^{2}$

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