The length of the arc is given by s = rθ.

First we must convert 165.58° into radians:

165.58° = 165.58 × π/180 = 2.8899 radians.

So arc length is: s = 1.875 × 2.8899 = 5.419 cm.

So the perimeter of the cam is:

2 × 1.875 + 5.419 = 9.169 cm.