As a realtor, we cant really answer this question without violate the fair housing law. We are obligated to tell you to look at the police report in the area and determine whether it is a good area for you.
But I personally live in Addison Circle for many years now and I personally have no issue with it at all.
Here is the crime report by address search - http://gis.dallascityhall.com/StreetMatch/stmatch.htm
You can also search for homes in the area at http://www.findyourtexashome.com/addison/
JP and Associate