The radius of a circle where a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7) is:

60° = π/3 radians. We have r = l/θ. That is r = 37.4/(π/3). That is r = 37.4 × 3/π. That is r = 37.4 × 3 × 7/22. So r = 35.7 cm.