We illustrate typical experimental reaction cross sections σR which have obtained on RIBLL at Heavy Ion Research Facility of the Institute of Mode Physics (IMP) at Lanzhou. The corresponding nuclear radii are extracted from the measured experimental σR using the Glauber model. Meanwhile, theoretical nuclear radii are also calculated using Relativistic density-dependent Hartree and spherical relativistic mean-field theory with Pauli blocking. For comparison, the nuclear radii of these nuclei are also calculated using the empirical radius format in which the deformation has been taken into account. From the given experimental and theoretical nuclear radii, we suggest that there may exist proton halo structure in 23 Al, 27 p and may exist proton skin structure in 24Al. We also find that the deformation plays a great role to the nuclear radii.