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If the quadrantal bearing of a line AB is S31°35’E, then its whole circle bearing is equal to:

Whole Circle Bearing (WCB):- The magnetic bearing of a line measured clockwise from the north pole towards the line, is known as the ‘whole circle bearing, of that line. Such a bearing may have any value between 0° and 360°.

Reduced Bearing (RB):-

When the whole circle bearing of a line is converted to a quadrantal bearing, it is termed the ‘reduced bearing’. Thus, the reduced bearing is similar to the quadrantal bearing. Its value lies between 0° and 90°, but the quadrants should be mentioned for proper designation.

The following table should be remembered for the conversion of WCB to RB:

WCB Between Corresponding RB Quadrant
0° and 90° RB = WCB NE
90° and 180° RB = 180° − WCB SE
180° and 270° RB = WCB − 180° SW
270° and 360° RB = 360° − WCB NW

Given S = S31°35’E

W.C.B = 180° – 31°35` = 148°25`