Handbook of Machining and Metalworking Calculations

This covers calculating the hole coordinates when the bolt circle diameter and angle of the hole is given. Refer to Fig. 5.41, where we wish to find the coordinates of the hole in quadrant II, when the bolt circle diameter is 4.75 in, and the angle given is 37.5184 .
The radius R is therefore 2.375 in, and we can proceed to find the x or horizontal ordinate from:
The y or vertical ordinate is then found from:
Therefore, the x dimension = 1.8839 in, and the y dimension = 1.4464 in.
We can check these answers by using the pythagorean theorem:
Figure 5.42 shows another sample calculation for obtaining the coordinates of a hole at 40.8524 on a bolt circle with a diameter of 4.6465 in.