When on V123 and crossing over the VOR at the 250 radial, what radial will you be on?

When an aircraft is on a radial expressed in terms of magnetic direction from a VOR (VHF Omni-directional Range), understanding the concept of radials is essential. In this case, crossing over the VOR at the 250 radial means the aircraft is currently receiving the VOR signal from a direction of 250 degrees, which points away from the VOR.

As the aircraft passes directly over the VOR and continues on the same path, you can determine the next radial by recognizing that the aircraft will have effectively changed its reference point. The radial that you are on after crossing will be exactly opposite to the radial from which you were receiving the signal. Since the opposite of 250 degrees is 070 degrees (calculated as 250 + 180 = 430, and then adjusting for a full circle by subtracting 360 results in 070), this means after crossing the VOR you would be on the 070 radial.

This reinforces the fundamental principle of navigation with VORs, where the radials represent magnetic bearing from the VOR station, and helps pilots understand how their position relative to the VOR changes upon crossing it.