$A$ rigid body of mass $m$ rotates with angular velocity $\omega$ about an axis at a distance $d$ from its center of mass. The radius of gyration about an axis passing through the center of mass $G$ and parallel to the given axis is $K$. What is the rotational kinetic energy of the body?

• A
  $\frac{1}{2} m K^2 \omega^2$
• B
  $\frac{1}{2} m d^2 \omega^2$
• C
  $\frac{1}{2} m (d^2 + K^2) \omega^2$
• D
  $\frac{1}{2} m (d + K)^2 \omega^2$