A compact egg-shaped super wide-band patch antenna with coplanar waveguide (CPW) feed is proposed. A much simpler design equation has been identified compared to previous reported works for egg-shaped patch antennas. An optimized egg shaped antenna has been designed and implemented on FR4 substrate with the dimensions 30mm x 27.5mm x 1.6mm.The antenna with geometry modifications has an impedance bandwidth 2.85-31.6 GHz. The performance of the antenna was validated analytically for super wideband (SWB) operation and experimentally for ultra-wideband (UWB) operation. A maximum gain of 4.4dBi and a minimum of 2dBi was observed at 6.5GHz and 3GHz respectively. A 30% reduction in patch area has been achieved compared to existing egg-shaped SWB antennas in literature. The lower frequency bound of the antenna is scalable with dimensions for lesser permittivity substrates which has been analytically validated. It is identified that the proposed antenna design could be used to achieve flexibility in bandwidth. This antenna is a potential candidate for super wideband applications.