What part of a revolution have you turned through if you stand facing (a) East and turn clockwise to face north? (b) South and turn clockwise to face east? (c) West and turn clockwise to face east?

Solution:

Revolution means a complete 360 degrees turn.

(a) East and turn clockwise to face north? 

East to the north is 270 degrees when we turn in the clockwise direction, hence three-fourths of a revolution. 

(b) South and turn clockwise to face east? 

South to the east is 270 degrees when we turn in the clockwise direction, hence three-fourths of a revolution. 

(c) West and turn clockwise to face east?

West to the east is 180 degrees, hence half of a revolution. 

Thus, (a) three-fourths of a revolution, (b) three-fourths of a revolution, (c) half of a revolution.

What part of a revolution have you turned through if you stand facing

Summary:

(a) Three-fourths of a revolution (b) Three-fourths of a revolution, (c) Half of a revolution.