Hi there
Your custom radio field will store a value, depending on whether option A, B, or C was selected when the post was saved.
So you will filter a View based upon that value.
Let's say my custom field is 'status', and the values stored for the options "active", "inactive", and "archived" are simply 1, 2, and 3.
So I create a View to query the post type in question, and add a Query Filter for the status field. If you can't see the Query Filter section, go to the Screen Options tab at the very top of the page and make sure the Query Filter option is checked (it is hidden by default when you create a custom search View, for example).
Now, in the UI dialog where you insert this filter, you could manually specify that status should equal 1, and then make another View for when status = 2, and a third View for when status = 3.
But if the Loop Output sections are largely the same in each case, then it makes more sense to set the value using a shortcode attribute, as described here: https://toolset.com/documentation/user-guides/passing-arguments-to-views/, so that you create just one View, but when you insert the View somewhere on a page you add a shortcode attribute to specify the required value.
(When you choose shortcode attribute while inserting the filter, it will suggest a default for the attribute name, but you can change this to whatever you want, just be sure to specify the same attribute when you insert the View shortcode.)
Note that there are some contexts, if you are inserting a View via a page-builder widget, for example, where you cannot specify a shortcode attribute, and in such cases you would instead need to insert the View using a shortcode (the Fields and Views button if available would output the correct format) and then manually add the attribute to the shortcode.