I think the answer is probably "it depends" -- and it may not be possible to do this with the information displayed for an AncestryDNA circle alone.  

You may find the following resources helpful:

 - [August 2017 Update to the Shared cM Project][1], posted 26 August 2017 by Blaine Bettinger
 - AncestryDNA White Paper on [DNA Matching][2]
 - AncestryDNA White Paper on [DNA Circles][3]

From the DNA Circles White Paper:

> One pertinent point relating to IBD [identity-by-descent] is that even if two AncestryDNA
> members are both descended from a particular ancestor, they may not
> necessarily share any DNA inherited IBD (e.g., individuals C and E in
> Figure 2.1). Due to the randomness of genetic inheritance, one doesn't
> necessarily share DNA with all of one's distant cousins, particularly
> fourth cousins and beyond. While sharing DNA identical-by-descent is
> often evidence of the relatedness of two individuals, the lack of an
> IBD match does not necessarily imply a lack of a distant genealogical
> relationship.
> 
> Thus, the third and final goal of DNA Circles is to allow relatives who do not share identical-by-descent stretches of DNA to collaborate
> with one another.

The white paper also discusses the problem that a user of AncestryDNA may not have a completely-filled out pedigree, that the pedigree may not be accurate, and that the users who have been grouped together in a DNA Circle may actually have an IBD match because of a *different* most recent common ancestor (MCRA) than the Ancestor shown in the circle.

The size of the DNA Circle and the confidence scores of the matches for the members are taken into account, and the Whitepaper addresses how these factors affect Ancestry's algorithms.

The white paper on DNA Matching yields another important clue:

> An important feature of our method is that we do not keep track of all
> matching segments; in step 5, we filter out a candidate match if its
> genetic distance is less than 6cM.

You may be able to infer more than Ancestry's DNA Circle displays tell you, if any of the members of the Circle have also uploaded their data to GEDMatch or you have other means to view their results on a site with a chromosome browser.  

Here is the new Relationship Chart from the shared cM project:

[![enter image description here][4]][4]

And here is the updated Cluster Chart:

[![enter image description here][5]][5]

I think it's definitely a question worth asking, but whether the answer is YES or NO may depend entirely on the specific DNA Circle -- how many people are in the circle, how complete and accurate their paper-trail research is, and how distant the members' relationships are to you. 


  [1]: http://thegeneticgenealogist.com/2017/08/26/august-2017-update-to-the-shared-cm-project/
  [2]: https://www.ancestry.com/corporate/sites/default/files/AncestryDNA-Matching-White-Paper.pdf
  [3]: https://www.ancestry.com/corporate/sites/default/files/AncestryDNA-DNA-Circles-White-Paper.pdf
  [4]: https://i.sstatic.net/os4tj.jpg
  [5]: https://i.sstatic.net/LCw2S.png