The reflection from a flared coaxial line radiating into a dielectric slab with a flange is investigated. The flared coaxial line is modeled with multiply stepped coaxial lines with different inner and outer conductors. A set of simultaneous equations for the reflection from a coaxial line is constituted. Numerical computations are performed to illustrate the reflection behavior in terms of the coaxial line geometry, frequency, and permittivity of sample dielectric slab. The utility of the flared coaxial line in the determinant of slab permittivity is discussed.