# problem with polar coordinates in plots

when I set plot range on 300, polar coordinates as is shown in figure 1 is completely covered but figure range is so far away from outer degree circle and When I set plot range on 200, polar coordinate is not shown in plot clearly,I am thankful if you guide me to fix it

Q = PolarPlot[
{(100*Cos[t]*Cos[t])/(1.5*(1-0.49)^(1/2)),
(100*Sin[t]*Sin[t])/(1.5*(2-0.49)*(1 - 0.49)^(3/2))},
{t, 0, 2*Pi},
PolarAxes -> True,
PlotRange -> 300,
PolarGridLines -> {Automatic, None},
PolarTicks -> {"Degrees", Automatic}
]  • Along with PlotRange -> 200, use the option PlotRangePadding -> 25 – Bob Hanlon May 2 at 15:49
• More hacky solution, draw an invisible circle with PolarPlot[170, {\[Theta], 0, 2 Pi}, PlotStyle -> {Directive[Opacity]}] and then combine that with Show with your polarplot. – Max1 May 2 at 15:54
• @Max1, thank you bro. – Arian May 3 at 7:48
• @Bob Hanlon, thanks a lot – Arian May 3 at 7:49

In addition to setting a PlotRangePadding as Bob Hanlon suggested in comments, you may also want to play with PolarAxesOrigin to fine-tune the appearance of the plot:

PolarPlot[
{(100*Cos[t]*Cos[t])/(1.5*(1 - 0.49)^(1/2)),
(100*Sin[t]*Sin[t])/(1.5*(2 - 0.49)*(1 - 0.49)^(3/2))},
{t, 0, 2*Pi},
PolarAxes -> True,

(*----------*)
PolarAxesOrigin -> {Pi/4, 150},
PlotRange -> 130, PlotRangePadding -> Scaled[0.15],
(*----------*)

PolarGridLines -> {Automatic, None},
PolarTicks -> {"Degrees", Automatic}
] PolarAxesOrigin allows you to control the angular position of the polar axis as well as the distance from the origin at which the radial axis crosses the angular axis.

• thank you so much, it was very helpful. – Arian May 3 at 7:47