@marko_ribar, your pattern definitions can go from 0- through 179-degree directions, and stop there -- the 0-degree direction covers the 180-degree direction, too, and 1 covers 181, etc.
@fkp7057, your right image can be as simple as this:
*RADIAL15, Radial lines at 15-degree increments
0, 0,0, 0,1
15, 0,0, 0,1
30, 0,0, 0,1
45, 0,0, 0,1
60, 0,0, 0,1
75, 0,0, 0,1
90, 0,0, 0,1
105, 0,0, 0,1
120, 0,0, 0,1
135, 0,0, 0,1
150, 0,0, 0,1
165, 0,0, 0,1
Set the pattern origin to the center of your Circle [in the image, or otherwise wherever you want the radiating to radiate from] and set the Scale factor to whatever it takes to get the "other stuff" [the parallel repeats of the defined linesets] outside the Hatched area.
Your left image can't be done with a Hatch pattern if you're intending it to have actual curvature -- Hatch patterns can only be made of straight-line segments [or dots, which are zero-length straight-line segments, as in some of marko's suggestions]. But it could be done with an AutoLisp routine easily enough, if that's of interest.
Kent Cooper, AIA