diff --git a/Cone_spanners_2/include/CGAL/Compute_cone_boundaries_2.h b/Cone_spanners_2/include/CGAL/Compute_cone_boundaries_2.h
index 74e12a8f4db..7e820e12a76 100644
--- a/Cone_spanners_2/include/CGAL/Compute_cone_boundaries_2.h
+++ b/Cone_spanners_2/include/CGAL/Compute_cone_boundaries_2.h
@@ -30,7 +30,6 @@
 #include <CGAL/Polynomial.h>
 #include <CGAL/number_type_config.h>    // CGAL_PI is defined there
 #include <CGAL/enum.h>
-#include <CGAL/Exact_predicates_exact_constructions_kernel_with_root_of.h>
 #include <CGAL/Aff_transformation_2.h>
 
 namespace CGAL {
@@ -111,7 +110,7 @@ public:
 
 };
 
-
+#if defined(CGAL_USE_LEDA) || defined(CGAL_USE_CORE)
 /*
  The specialised functor for computing the directions of cone boundaries exactly
  with a given cone number and a given initial direction.
@@ -209,6 +208,7 @@ public:
 
     }   // end of operator()
 };      // end of functor specialization: Compute_cone_..._2
+#endif
 
 }  // namespace CGAL
 
diff --git a/Cone_spanners_2/include/CGAL/Cone_spanners_2/Less_by_direction_2.h b/Cone_spanners_2/include/CGAL/Cone_spanners_2/Less_by_direction_2.h
index 6ba9f53652e..e36137df8fb 100644
--- a/Cone_spanners_2/include/CGAL/Cone_spanners_2/Less_by_direction_2.h
+++ b/Cone_spanners_2/include/CGAL/Cone_spanners_2/Less_by_direction_2.h
@@ -22,7 +22,6 @@
 #include <CGAL/Polynomial.h>
 #include <CGAL/number_utils.h>
 #include <CGAL/enum.h>
-#include <CGAL/Exact_predicates_exact_constructions_kernel_with_sqrt.h>
 #include <CGAL/Aff_transformation_2.h>
 
 #include <boost/config.hpp>