  SRA-free condition for metric spaces (that is, spaces without Small Rough
Angles) was introduced by Zolotov to study rectifiability of self-contracted
curves in various metric spaces. We give a Moebius invariant version of this
notion which allows to show that zz-distance associated with a respective
Moebius structure on the circle is nondegenerate. This result is an important
part of a solution to the inverse problem of Moebius geometry on the circle.
