In this paper, we applied the Fourier Transformation as a notion to calculate the orientation of hexagonal graphene domains on Cu substrate. We developed that a hexagon function to describe the diffraction pattern of hexagonal graphene. Hexagonal graphene domains grown on Cu (111) has an average value of orientation surrounding 3° in the frequency domain. For transparent conducting electrode applications, optical and electrical properties of large-area graphene film (2cm2) was measured. The results demonstrate that graphene grown on Cu (111) was greater than graphene grown on polycrystalline Cu.