Search By Rim

Screenshot source: wheel-size.com, choose By Tire Rim block in search form and make a search

As in Search By Tire this is just a proxy to /bolt-pattern/ API method.
You can see Models Matching Given Bolt Pattern for more information. 

GET /v1/search/by_rim/?rim_diameter=16&rim_width=7&bolt_pattern=5x112 HTTPS/1.1
Host: api.wheel-size.com

[
    {
        "make": {
            "slug": "audi",
            "name": "Audi"
        },
        "models": [
            {
                "slug": "a3",
                "name": "A3"
            },
            {
                "slug": "a4",
                "name": "A4"
            },
            {
                "slug": "a6",
                "name": "A6"
            },
            {
                "slug": "a8",
                "name": "A8"
            }
        ]
    },
    ...
]