# Plot a distribution around a circle in Mathematica?

Posted 16 days ago
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 I want to plot the distribution below around a circle and shade it. Currently, I have it in a polar plot. My expectation is to have something close to the image below. The goal is to show damage distribution around the circle. Thank you. PolarPlot[ 1/(4 Pi) + (5/16 Pi) (1 - 3 Cos[2 t]) + 9/(256 Pi) (9 - 20 Cos[2 t] + 35 Cos[4 t]), {t, 0, 5 Pi}] 
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Posted 15 days ago
 This may be a start: PolarPlot[ Abs[1/(4 Pi) + (5/16 Pi) (1 - 3 Cos[2 t]) + 9/(256 Pi) (9 - 20 Cos[2 t] + 35 Cos[4 t])], {t, 0, 2 Pi}] /. Line -> Polygon