The order of sharps and flats on the violin. The order of sharps on the violin are F, C, G, D, A, E, B. And they're in a circle of fifths. So five from the F: F, G, A, B, C. So, then that's five notes from the F.
If you're starting on the C, to find the next circle of fifths note: C, D, E, F, G. So, you have F, C, G and so forth. You just count on your fingers, starting on that note, five above, and then that's how you can figure out your circle of fifths in the sharps.
The flats. The order is B flat, E flat, A flat, D flat, G flat, C flat and F flat. And those are the order of the flats in the circle of fifths. Just backwards from the order of sharps.