Question about cropping and field of view?

Soldato
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So I've found an old APS-C only prime lens I forgot I had and have tried it on my full frame body. It works perfectly with the obvious heavy vignetting being visible.

I'm actually quite surprised by the results but have a question regarding how cropping changes the effective field of view / focal length and hopefully some here can help!

The below is the full image at 24mp,edge of lens element visible.
DWIWA57.jpg.png

The below is cropped to 18.03mp to remove most but not all of the vignetting
Da6rWUf.jpg.png

Question is with a 6mp crop taken off what would the focal length of the 2nd shot be?

Is it as below:

Original shot is 30mm at 24mp
I've cropped in by 6mp, reducing the mp count by 25%
Do I then take that 25% and add it to the original focal length therefore giving a 37.5mm field of view in the cropped shot?
 
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I was under the impression that crop sensor only lenses protruded further into the camera body and as such could cause damage to the mirror when used with Full Frame bodies.
 
It's true of Canon EF-S lenses, they are designed to fit APS-C size bodies. If you try and fit one on an EF body, the protrusion of the lens can either obstruct or result in your mirror slapping the rear of the lens.

So Canon recommend you don't try and do this, and I believe that's why they also put a white square on the lenses, rather than the red circle of EF mounts.
 
This is on a Sony A99 & Sigma 30mm f1.4 so isn't the Canon system. I've used the combo quite a bit over the last few days and honestly I'm quite impressed with the results once the vignette is cropped out.

roowwdt.jpg.png
 
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