A 16 kg child is spinning while holding their favorite toy (toy mass is 1 kg). If the child's arms are 24 cm in length, by how much does the child's moment of inertia change when their arms are stretched out (with the toy) as compared to when they are pulled in? Assume the closest the child's arms can come to their center of rotation is 10 cm and that each arm is about 1 kg in mass (the mass of the arms is included in the 16 kg.)