diff --git a/Circular_kernel_3/doc_tex/Circular_kernel_3_ref/GeomFunctorsCompute.tex b/Circular_kernel_3/doc_tex/Circular_kernel_3_ref/GeomFunctorsCompute.tex
new file mode 100644
index 00000000000..dfcec5a1874
--- /dev/null
+++ b/Circular_kernel_3/doc_tex/Circular_kernel_3_ref/GeomFunctorsCompute.tex
@@ -0,0 +1,54 @@
+\begin{ccRefFunctionObjectConcept}{SphericalKernel::ComputeAreaDividedByPi}
+\ccCreationVariable{fo}
+
+An object \ccVar\ of this type must provide:
+
+\ccMemberFunction{SphericalKernel::FT
+	operator()(const Circle_3 & c);}
+{Computes the area of the circle, divided by $\pi$.}
+
+\end{ccRefFunctionObjectConcept}
+\begin{ccRefFunctionObjectConcept}{SphericalKernel::ComputeSquaredLengthDividedByPiSquare}
+\ccCreationVariable{fo}
+
+An object \ccVar\ of this type must provide:
+
+\ccMemberFunction{SphericalKernel::FT
+	operator()(const Circle_3 & c);}
+{Computes the squared length of the circle, divided by $\pi^2$.}
+
+\end{ccRefFunctionObjectConcept}
+\begin{ccRefFunctionObjectConcept}{SphericalKernel::ComputeApproximateArea}
+\ccCreationVariable{fo}
+
+An object \ccVar\ of this type must provide:
+
+\ccMemberFunction{double
+	operator()(const Circle_3 & c);}
+{Computes an approximation of the area of the circle.}
+
+\end{ccRefFunctionObjectConcept}
+\begin{ccRefFunctionObjectConcept}{SphericalKernel::ComputeApproximateSquaredLength}
+\ccCreationVariable{fo}
+
+An object \ccVar\ of this type must provide:
+
+\ccMemberFunction{double
+	operator()(const Circle_3 & c);}
+{Computes an approximation of the squared length of the circle.}
+
+\ccMemberFunction{double
+	operator()(const Circular_arc_3 & c);}
+{Computes an approximation of the squared length of the arc.}
+
+\end{ccRefFunctionObjectConcept}
+\begin{ccRefFunctionObjectConcept}{SphericalKernel::ComputeApproximateAngle}
+\ccCreationVariable{fo}
+
+An object \ccVar\ of this type must provide:
+
+\ccMemberFunction{double
+	operator()(const Circular_arc_3 & c);}
+{Computes an approximation of the angle of the arc.}
+
+\end{ccRefFunctionObjectConcept}
diff --git a/Circular_kernel_3/doc_tex/Circular_kernel_3_ref/intro.tex b/Circular_kernel_3/doc_tex/Circular_kernel_3_ref/intro.tex
index ec856fb92d1..797c54f4222 100644
--- a/Circular_kernel_3/doc_tex/Circular_kernel_3_ref/intro.tex
+++ b/Circular_kernel_3/doc_tex/Circular_kernel_3_ref/intro.tex
@@ -19,6 +19,13 @@
 
 \ccRefConceptPage{SphericalKernel::Intersect_3}
 
+\ccRefConceptPage{SphericalKernel::ComputeAreaDividedByPi}\\
+\ccRefConceptPage{SphericalKernel::ComputeSquaredLengthDividedByPiSquare}
+
+\ccRefConceptPage{SphericalKernel::ComputeApproximateArea}\\
+\ccRefConceptPage{SphericalKernel::ComputeApproximateSquaredLength}\\
+\ccRefConceptPage{SphericalKernel::ComputeApproximateAngle}
+
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \section{Algebraic Concepts}
 
diff --git a/Circular_kernel_3/doc_tex/Circular_kernel_3_ref/main.tex b/Circular_kernel_3/doc_tex/Circular_kernel_3_ref/main.tex
index fcce76ac2a8..f7011238eb8 100644
--- a/Circular_kernel_3/doc_tex/Circular_kernel_3_ref/main.tex
+++ b/Circular_kernel_3/doc_tex/Circular_kernel_3_ref/main.tex
@@ -17,6 +17,7 @@
 
 \input{Circular_kernel_3_ref/GeomFunctorsOtherConstructions}
 
+\input{Circular_kernel_3_ref/GeomFunctorsCompute}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 % algebraic kernels