I've attached an image for the entry of the second case, using the same Plan settings as for the first case. Chris' suggestion is for instances where you do not have enough information for a circular arc's orientation. For example, in the second case, if there were no radial bearings to define the orientation of the curve, you would start at the south east corner, cogo in the first three straight lines, digitize in the last closing course as a straight line, and then edit the last course by entering in the radius. The downside of this is that you are not getting the benefit of closure, and ensuring that no mistakes were made in the entry of the prior courses. In some scenarios you may have no choice but if there is enough information, as shown in this data, then it's better to enter the complete curve information, and get the benefit of the QA from the misclose information:
[ATTACH=CONFIG]23726[/ATTACH]
-Tim