This paper presents the design and simulated results of a compact varactor diode integrated conventional hexagonal patch antenna with different sides and also compares the results with a similar patch antenna. Proposed hexagonal microstrip patch antenna (HMSA) was designed and simulated using HFSS.V.13 and ADS and its various parameters such as return loss, VSWR and input impedance were determined, and shape of this HMSA was modified by cutting various slots in it at appropriate positions. The variable capacitance diode loading method enables the impedance matching for the frequency band from 2.67 to 2.71 GHz for the value of VSWR in between 1.02-1.16. The proposed antenna also gives CP radiation with slots. In addition to it is observed that the proposed antenna shows frequency agility behavior in the frequency ranges 2.67-2.71 GHz with bias voltage varying from 0 to 5V.