The Tangential Force F Shown in Figure Below Is Applied

The tangential force F shown in figure below is applied to a disc is allowed to rotate about an axis through its center.The diameter of the disc is 24.0 cm.The magnitude of this tangential force is given in the graph of F vs.Angular Position.With the disc at rest initially and ignoring frictional torque,the disc's angular velocity after one full rotation is -31.4 rad/sec.What is the moment of inertia of the disk?

A) 3.14 * 10^-3 kg m²
B) 7.65 * 10^-3 kg m²
C) 2.40 * 10^-1 kg m²
D) 6.32 * 10^-3 kg m²
E) 1.28 * 10^-3 kg m²