According to the findings of the article, researchers looked at graphene-based hexagonal microstrip patch antennas. In place of a U-shaped slot and an elliptical slot, an ellipse-shaped slot was cut into the surface of the hexagonal radiators that were used in the designs that were recommended. This helped to improve the radiation performance of the radiators. A frequency known as ultra-wideband (UWB) is used in the modelling process for the anticipated structures. Through the use of comparative studies, an investigation into the effect of U-shaped and elliptical-shaped slots on the radiation performance of proposed graphene antenna designs has been carried out. The use of ellipsoidal slot-loaded structures results in considerable enhancements and advancements in directivity. The impedance bandwidths for S11 antennas with a gain of 10 dB range from 0.68 to 1.63 terahertz for U-shaped and elliptical-shaped slot loaded hexagonal printed antennas, respectively. Extensive research is presented for the various characteristics of the proposed THz antenna types. The designs that were offered provide excellent impedance matching over the full operating range. This is made possible by the high reflection and VSWR values that they possess. The cutting-edge antenna design may be used for spectrum imaging, the detection of explosives, medical diagnostics, radio transmission, and the monitoring of the weather.