Oftentimes I've found that the parking island size is dependent on the minimum turn radii for fire lanes, (when the planters are adjacent to fire lanes).
For internal islands, I've used various sized radii depending on the width of the island you want to use. Usually it will match the width of a parking stall at about 9-feet, so that is a face of curb radius of 4.5-feet so they are tangent in the center of the 9-foot wide island.
The City of Frisco, Texas has some special requirements for parking islands (can look it up online) that I've found innovative. Basically if the total surface area of the island is below a certain threshold, a special fill is required outside (and under) the curb.
This is to allow for root zone growth of trees when the island is small, allowing for the tree to grow larger in a constrained area..at least that is the theory.