How do you convert linear displacement into angular displacement?

To convert linear displacement (s) into angular displacement (θ), you can use the relationship between the two, given by the formula θ = s / r, where r is the radius of the circular path. This formula indicates that the angular displacement in radians is equal to the linear displacement divided by the radius. Thus, knowing the radius allows you to translate how far an object has moved linearly along a circular path into how far it has rotated.