Use the ellipse selection tool and hold Shift to make it a circle. Hold Ctrl to pull from origo. Then use Stroke Selection or Fill Selection.
Although, I miss being able to create a selection from a point on the ellipse/circle instead of just origin or bounding box corner.
I would also like to stroke on the inside or outside of the selection instead of just its middle. I have often had to first fill the circle and then select again from the same origin point to cut out the inside.
Instead of trying to get at the same origin point, I usually just keep the selection active and then go to "Selection" menu and choose either "Shrink" or "Expand" options (or similar language: I use a localized version).