A class does not have a context and to use a string resource a context is needed. So just call the class from an activity and give a parameter context and within your class constructor just use that context to get the string resource.
In your custom class you need to import the R namespace for the project to get the resource Id.
import com.myrandomapp.R;
Then to get the actual string
context.getString(R.string.COOL_STRING)