A problem which often arises in connection with the determination of probabilities of various miss distances of bombs and missiles is the following: Letxandybe two normally and independently distributed orthogonal components of the miss distance, each with mean zero and with standard deviations σxand σy, respectively, where for convenience one labels the components so that σx≥σy. Now for various values ofc= σy/σx, it is required to determine (1) the probabilityPthat the point of impact lies inside a circle with center at the target and radiusKσx, and (2) the value ofKsuch that the probability isPthat the point of impact lies inside such a circle. Solutions of (1), forc= 0.0(0.1) 1.0 andK= 0.1 (0.1) 5.8, and (2), for the same values ofcandP= 0.5, 0.75, 0.9, 0.95, 0.975, 0.99, 0.995, 0.9975, and 0.999, are given along with some hypothetical examples of the application of the tables.