diff --git a/test/algorithms/convex_hull/convex_hull_sph_geo.cpp b/test/algorithms/convex_hull/convex_hull_sph_geo.cpp
index 33dfef803..277c3ae8c 100644
--- a/test/algorithms/convex_hull/convex_hull_sph_geo.cpp
+++ b/test/algorithms/convex_hull/convex_hull_sph_geo.cpp
@@ -52,6 +52,14 @@ void test_all()
         >("polygon((1 1, 1 4, 3 4, 3 3, 4 3, 4 4, 5 4, 5 1, 1 1))",
           9, 5, 0.003652987070377825, 147615606532.65408);
 
+    // calculate convex hull with a non-default spherical side strategy
+    test_geometry
+        <
+            bg::model::polygon<SphericalPoint>,
+            sphrerical_side_by_cross_track<>
+        >("polygon((359 0,1 1,1 -1,359 0))", 4, 4,
+          0.00060931217091786914);
+
     test_empty_input<bg::model::linestring<SphericalPoint>>();
     test_empty_input<bg::model::ring<SphericalPoint>>();
     test_empty_input<bg::model::polygon<SphericalPoint>>();
diff --git a/test/algorithms/convex_hull/test_convex_hull.hpp b/test/algorithms/convex_hull/test_convex_hull.hpp
index b7912075b..df1b959b0 100644
--- a/test/algorithms/convex_hull/test_convex_hull.hpp
+++ b/test/algorithms/convex_hull/test_convex_hull.hpp
@@ -28,6 +28,7 @@
 
 #include <boost/geometry/strategies/strategies.hpp>
 #include <boost/geometry/strategies/area/services.hpp>
+#include <boost/geometry/strategies/spherical/side_by_cross_track.hpp>
 
 #include <boost/geometry/strategy/cartesian/side_robust.hpp>
 #include <boost/geometry/strategy/cartesian/side_non_robust.hpp>
@@ -62,6 +63,15 @@ struct non_robust_cartesian_sbt : boost::geometry::strategies::detail::cartesian
     }
 };
 
+template <typename CalculationType = void>
+struct sphrerical_side_by_cross_track : boost::geometry::strategies::detail::spherical_base<void>
+{
+    static auto side()
+    {
+        return boost::geometry::strategy::side::side_by_cross_track<>();
+    }
+};
+
 struct precise_cartesian : boost::geometry::strategies::detail::cartesian_base
 {
     template <typename Geometry>
@@ -318,6 +328,7 @@ void test_geometry_sph_geo(std::string const& wkt,
         size_hull_closed, geographic_expected_area);
 }
 
+
 template <typename Geometry>
 void test_empty_input()
 {