Recent advancements in the power electronic device technologies, such as wide-band-gap devices including Silicon-Carbide (SiC) and Galium-Nitride (GaN), are acting as an enabling factor in development of compact power electronic systems. More specifically, the concept of More Electric Aircraft (MEA), which requires the aircraft's pneumatic systems to be replaced by electrical systems, can therefore greatly benefit from these emerging technologies in reduction of weight and volume of the aircraft such that range of aircraft can be increased. Various functions of aircraft e.g. actuation and engine-starting in MEAs are performed by power electronic converter based systems. With SiC and GaN devices, converters with densities even up to 70kW/L are easily achievable only when the envelope of the converter is cubical and not restricted. However, in case when a specific envelope is provided by the aircraft manufacturer, the component selection, layout and the design of power electronic converter to achieve high power density, within the restricted envelope, becomes extremely challenging. This paper presents the design of a circular-shaped 17.5kW/L - 97.6% efficient- SiC based two-level (2L) inverter for aircraft applications. Furthermore, the feasibility and design of the converter are supported by the experimental results rated at a power of 13kW.