# Why is this not a circle? [duplicate]

sols = y /. Solve[(x - 4)^2 + y^2 == 4, y];
Plot[sols, {x, -5, 5}, PlotStyle -> Blue, AspectRatio -> 1]


When I plot it, I would expect a circle centered at x=4, y=0 with radius 2, but it becomes an ellipse ?

why is "AspectRatio -> 1" wrong ?

• Set AspectRatio -> Automatic and try again. Apr 11 '17 at 20:29
• @ J.M. yes, it works now... but why is AspectRatio -> 1 wrong ? Apr 11 '17 at 20:33
• It is a circle. AspectRatio controls the physical size of the axis not the scale of the axis. With Automatic it looks to the scale of the axis. Not the case when you specify a particular ratio. Apr 11 '17 at 20:39
• notice as the x range is 10 and the y range is 4 the plot aspect ratio to make the units square is AspectRatio->4/10 (what Automatic does for you) Apr 11 '17 at 20:52
• @george2079 okay, thanks a lot ! :) Apr 12 '17 at 11:31