Basic Examples (3) 

Plot the given rose curve with clickable subpetals:

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Get the number of petals, surface area and total area alongside the interactive plot:

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Get information about the curve's shape and features alongside the interactive plot:

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Scope (1) 

Negative values of a and decimal forms of n are acceptable and are rationalized internally to produce exact results:

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Options (4) 

Default PolarPlot and ParametricPlot options apply to each graphic:

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Change the initial point:

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Bold the petal containing the shaded region:

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Use PlotRange to view small regions:

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Applications (4) 

Generate all the subpetal areas:

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Determine the number of petals:

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Click to copy the selected areas and add them together, multiplying by the number of petals:

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As desired, this is equivalent to the surface area of the rose curve:

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Possible Issues (4) 

The ImageSize option has no effect:

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For nonnumerical values of a, the function is left unevaluated:

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For negative, irrational or nonnumerical values of n, the function is left unevaluated:

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When no available property is called, the function is left unevaluated:

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Neat Examples (2) 

For some rose curves, the selected areas are not unique:

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When n=1/2, the subpetals have very convenient values:

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