Dr. Friedmann provides a prescription for glasses after your eye exam, which is a measurement of your eye power (sphere, cylinder, axis and add power) at the time of your exam. It’s like measuring your foot and saying how long and wide it is. He does not fit patients for contact lenses.
To get a prescription for contact lenses, a licensed dispenser (Optician or dispensing Optometrist) takes the prescription you got from Dr. Friedmann to specify what product/brand of contact lens to use, its base curve and radius. Using the shoe metaphor, it’s like going to a shoe store and choosing to purchase either hikers, runners, dress shoes, etc, based on your foot measurements. As you may well know, each shoe fits differently, depending on the brand of shoe, type of shoe and so forth.
Sometimes, a dispensing fee is charged by the fitter for this service.