It's hard to tell because the process of capturing the screen and then rendering in it a browser introduces distortion. But my impression is that they aren't to jagged (which is the usual term that is used). Jaggies are an intrinsic part of rendering ideally smooth and continuous shapes on a raster canvas, especially on a two-color screen.
Why was the radius of the circle in Screen.drawCircle() told to be limited to no greater than 181? The vertical length of the screen is 256 pixels, then shouldn't it be 127 ?
Notice that the issue is specifically given as potentially leading to overflow. This has nothing to do with the screen size, but with the ability to do the math.
What is the largest value that r can be such that r^2 is representable as a 16-bit two's complement integer?