See EXIF specifications.
https://www.adobe.com/content/dam/acom/en/products/photoshop/pdfs/dng_spec_1.4.0.0.pdf
ActiveArea defines the pixels that receive light (as opposed to masked pixels used for something else). Though I don't have K-3III (yet), if I use your example of
Active Area: 34 26 4194 6250
the top left corner of that area is (Y, X)=(34, 26) but note that the origin is (0,0).
I interpret the spec to mean that the bottom right corner is (4193, 6249) in K-3 III's case (i.e. the active area is 4160x6224).
This is larger than the picture size in color filter array sensors (e.g. Bayer). If you don't have these "extra" pixels, color interpolation won't work at the edges.
Look at Default Crop Size and Default Crop Origin to see the actual areas corresponding to the final images. Unlike ActiveArea, the order is X before Y.