Calculate a reverse or back bearing from decimal degrees, DMS, or quadrant notation, with reciprocal azimuth, compass direction, and converted formats.

Reverse Bearing Formula

The following formula is used to calculate the Reverse Bearing (back bearing) for whole-circle bearings/azimuths in degrees, normalized to the 0° to <360° range.

RB = CB + 180,&CB<180\ CB - 180,&CB≥ 180
  • Where RB is the Reverse Bearing (degrees)
  • CB is the current bearing (degrees) 

In other words, add 180° to the current bearing and wrap the result into 0° to <360° (equivalently: RB = (CB + 180) mod 360).

How to Calculate Reverse Bearing?

The following example problems outline how to calculate Reverse Bearing.

Example Problem #1:

  1. First, determine the current bearing (degrees).
    • The current bearing (degrees) is given as: 50.
  2. Finally, calculate the Reverse Bearing using the equation above: 

RB = CB + 180

The values given above are inserted into the equation below and the solution is calculated:

RB = 50 + 180 = 230 (degrees)


Example Problem #2: 

For this problem, the variables required are provided below:

current bearing (degrees) = 80

Test your knowledge using the equation and check your answer with the calculator above.

RB = CB + 180 = ?

RB = 80 + 180 = 260 (degrees)