Recently we have demonstrated that high-precision polarization observations can detect the polarization resulting from the rotational distortion of a rapidly rotating Btype star. Here we investigate the extension of this approach to an A-type star. Linearpolarization observations of α Oph (A5IV) have been obtained over wavelengths from 400 to 750 nm. They show the wavelength dependence expected for a rapidly-rotating star combined with a contribution from interstellar polarization. We model the observations by fitting rotating-star polarization models and adding additional constraints including a measured v e sin i. However, we cannot fully separate the effects of rotation rate and inclination, leaving a range of possible solutions. We determine a rotation rate (ω = Ω/Ω c ) between 0.83 and 0.98 and an axial inclination i > 60 • . The rotationaxis position angle is found to be 142 • ± 4 • , differing by 16 • from a value obtained by interferometry. This might be due to precession of the rotation axis due to interaction with the binary companion. Other parameters resulting from the analysis include a polar temperature T p = 8725 ± 175 K, polar gravity log g p = 3.93 ± 0.08 (dex cgs), and polar radius R p = 2.52 ± 0.06 R . Comparison with rotating-star evolutionary models indicates that α Oph is in the later half of its main-sequence evolution and must have had an initial ω of 0.8 or greater. The interstellar polarization has a maximum value at a wavelength (λ max ) of 440 ± 110 nm, consistent with values found for other nearby stars.