Quantum Dots (QD) are man-made structures that consist of a countable number of electrons confined in all dimensions. They are significant due to their ability to change their size and electronic structure. The properties of the electrons in a quantum dot that is under the influence of a magnetic field were theoretically studied to characterize the quantum dots. The characteristics of two different boundary conditions, Dirichlet and Neumann BC, were applied to see the difference in properties for different BC types. The three information measures, Shannon entropy, Onicescu energy and Fisher information, were also computed for a better comparison. At small magnetic fields we see that Dirichlet QDs provide more information about the position of the electron than the Neumann QD. However, at strong magnetic fields, electrons in both the QDs display the properties of a uniform magnetic field and the boundary conditions become irrelevant.