In my effort to avoid the math and technicality of the optics of this subject I happen to have a 1982 version of Nikkor lenses for large format cameras. According to their chart format coverage shows the arc of the image circle at f22 for each of their lenses. They have lenses for different purposes such as general purpose, telephoto and wide angle. So for an example: their 150mm SW @f22 has an image circle of 10x12 inches and to get the same coverage in the W series all purpose lens you would need a 300mm @f22.
I know this is not the answer you are looking for but the lens design is an influencing factor.