Iterate a circle which located at specific degree from a degree.

Question

I have a angle: Angle(x, y).
I want to iterate a circle which located at a distance of specific degree. I easily can do it by x or y axis only.
For example:
Offset from Angle(x, y) is 6 degree. Step is 1 degree. Angle(x + (-3..3), y) or Angle(x, y + (-3..3))
It is only by vertically or horizontally, I don't know how combine x and y to make a circle.
Here is a picture which will help to understand what exactly I want.