Diameter from side to side is 15 1/2" from front to back is 16 1/2". From the felt to edge of brim in front & back is 4 1/2 inches on ours (meaning as in brim only). Hope that helps, and sorry for taking so long to respond. Have a wonderful day!

This is large or X-Large? I need this size 7 1/4 - 7 3/8

My pumpkin is 7-5/8 and it's fits nice but snug. It has a streach fit headband to it will definitely fit.

How hard would it be to remove the logo patch? Would it damage the hat?

Same - I was concerned about this, but I've purchased two and removed the logos on both. Start with a razor blade to nip the threads. There was a small amount, a couple of 1/8" dabs, of glue underneath (as someone else said, the kind from a hot glue gun). I was able to carefully pick these away with the razor, and maybe my fingers without damaging the hat. It's a great hat for people with big heads, but they're pretty fragile. My first one expired after running a boat at about 30mph. And they require a lot of care when, for example, getting on/off an airplane. They won't survive a crushing. At $20, I'm seeing it as a great summer hat that I need to buy every summer.