I'm guessing you're doing an undermount sink. The sink should sit back a ~4-6" from the edge of the countertop. 4" is ideal. At 4" with a 36" base, you should be able to get a 23" (outer edge measurement) D-Sink in there. If you're doing granite and don't want a true overmount sink, you could opt for a gravity sink where you would only need to worry about the width of the actual bowl part of the sink. See the discussion in the link below for description & a pic of this design in my postings. Overall, it's a good discussion on corner sinks.

Here is a link that might be useful: Corner Sink Thread with Pics

I agonized over this same issue for several weeks. My granite and Diamond (D shaped) Blanco silgranite sink were installed yesterday (I'm thrilled beyond words).

My sink is approximately 22" X 18" (interior) and sits 4 3/8" from the edge of my granite. The installers did "scoop" the sides of my cabinet. The sink looks huge - will definitely fit my turkey roaster and cookie sheets. Hope this helps.

I may be misunderstanding you so forgive me if this is a stupid answer. If you install the sink back to front then your drain will be at the front of the counter/cupboard which means your plumbing will be as well. That will prevent you from having easy access to the cupboard. I have a corner prep sink and there is a lot of space in that cupboard that I use for my recycling cans.

blfenton is right--the drain would be at the front if you installed the sink upside down with the curved end at the countertop edge.

I didn't think of that... plumbing up font would not be good,(it is the main sink, not a prep sink) not good at all...
@ mydreamhome... I had seen that thread before, but it was for a 39in base cabinet, not a 36. I will re-visit the thread though, thank you

I wouldn't do it with a d-shaped sink, but it worked out very nicely for Morton5 with a rectangular sink:

Here is a link that might be useful: reversed sink