The unique copula of a continuous random pair <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$(X,Y)$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mo stretchy="false">(</mo> <mi>X</mi> <mo>,</mo> <mi>Y</mi> <mo stretchy="false">)</mo> </mrow> </math> </EquationSource> </InlineEquation> is said to be radially symmetric if and only if it is also the copula of the pair <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$(-X,-Y)$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mo stretchy="false">(</mo> <mo>-</mo> <mi>X</mi> <mo>,</mo> <mo>-</mo> <mi>Y</mi> <mo stretchy="false">)</mo> </mrow> </math> </EquationSource> </InlineEquation>. This paper revisits the recently considered issue of testing for radial symmetry. Three rank-based...</equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation>