diff --git a/src/BRepMesh/BRepMesh_CircleTool.cxx b/src/BRepMesh/BRepMesh_CircleTool.cxx
index 9be1f518b0..e0f76003d9 100644
--- a/src/BRepMesh/BRepMesh_CircleTool.cxx
+++ b/src/BRepMesh/BRepMesh_CircleTool.cxx
@@ -152,7 +152,7 @@ Standard_Boolean BRepMesh_CircleTool::MakeCircle(const gp_XY&   thePoint1,
 
   theRadius = Sqrt(Max(Max((thePoint1 - aIntPnt).SquareModulus(), 
                            (thePoint2 - aIntPnt).SquareModulus()),
-                           (thePoint3 - aIntPnt).SquareModulus())) + aPrecision;
+                           (thePoint3 - aIntPnt).SquareModulus())) + 2 * RealEpsilon();
 
   return Standard_True;
 }
diff --git a/tests/bugs/mesh/bug27119 b/tests/bugs/mesh/bug27119
new file mode 100644
index 0000000000..e36f79aed3
--- /dev/null
+++ b/tests/bugs/mesh/bug27119
@@ -0,0 +1,44 @@
+puts "========"
+puts "OCC27119"
+puts "========"
+puts ""
+###########################################
+## Regression: Draw command "incmesh" hangs on the attacheced face.
+###########################################
+
+set BugNumber OCC27119
+
+restore [locate_data_file bug27119_GrossPlatePart3Step2TransformedFace.brep] result
+
+dchrono t reset
+dchrono t start
+incmesh result 1.e-6
+dchrono t stop
+set time [dchrono t show]
+regexp {CPU user time: ([0-9|.]+) seconds} $time full seconds
+
+set tri 0
+set nod 0
+set def 0
+
+set tri_info [trinfo result]
+regexp { +([-0-9.+eE]+) +triangles} $tri_info full tri
+regexp { +([-0-9.+eE]+) +nodes} $tri_info full nod
+regexp { deflection +([-0-9.+eE]+)} $tri_info full def
+
+set ref_tri 7855
+set ref_nod 7857
+set ref_def 9.3791641120333225e-013
+set tol_rel 0.01
+
+# Computes deviation of the value from specified one
+checkreal "Nb of triangles" $tri $ref_tri 0 $tol_rel
+checkreal "Nb of nodes" $nod $ref_nod 0 $tol_rel
+checkreal "Deflection" $def $ref_def 1.e-12 0
+
+set eps_time 3
+if { $seconds > $eps_time } {
+  puts "Error: Too slow ($seconds > $eps_time)"
+}
+
+set 3dviewer 1
diff --git a/tests/bugs/moddata_1/bug22759 b/tests/bugs/moddata_1/bug22759
index 5b9b2293b8..dfaf8ab5a2 100755
--- a/tests/bugs/moddata_1/bug22759
+++ b/tests/bugs/moddata_1/bug22759
@@ -23,6 +23,71 @@ incmesh result ${Deflection}
 
 checktrinfo result -tri 615414 -nod 311438 -defl 0.0032657364637550075 -tol_rel_defl 0.001 -tol_rel_tri 0.001 -tol_rel_nod 0.001
 
+regexp {deflection +([-0-9.+eE]+)} $tri_info full defl
+
+set env(os_type) $tcl_platform(platform)
+if { [string compare $env(os_type) "windows"] != 0 } {
+   puts "OS = Linux"
+   set good_tri  616054
+   set good_nod  311758
+   set good_defl 0.0032657364637550023
+} else {
+   puts "OS = Windows NT"
+   set good_tri  616054
+   set good_nod  311758
+   set good_defl 0.0032657364637550023
+}
+
+proc GetPercent {Value GoodValue} {
+    set Percent 0.
+    if {${GoodValue} != 0.} {
+        set Percent [expr abs(${Value} - ${GoodValue}) / abs(double(${GoodValue})) * 100.]
+    } elseif {${Value} != 0.} {
+	set Percent [expr abs(${GoodValue} - ${Value}) / abs(double(${Value})) * 100.]
+    } else {
+	set Percent 0.
+    }
+    return ${Percent}
+}
+
+set percent_max 0.1
+set status 0
+
+set triangle_percent [GetPercent ${tri} ${good_tri}]
+puts "triangle_percent = ${triangle_percent}"
+if { ${triangle_percent} > ${percent_max} } {
+   puts "triangle: Faulty ${BugNumber}"
+   set status 1
+} else {
+   puts "triangle: OK ${BugNumber}"
+}
+
+set node_percent [GetPercent ${nod} ${good_nod}]
+puts "node_percent = ${node_percent}"
+if { ${node_percent} > ${percent_max} } {
+   puts "node: Faulty ${BugNumber}"
+   set status 1
+} else {
+   puts "node: OK ${BugNumber}"
+}
+
+set deflection_percent [GetPercent ${defl} ${good_defl}]
+puts "deflection_percent = ${deflection_percent}"
+if { ${deflection_percent} > ${percent_max} } {
+   puts "deflection: Faulty ${BugNumber}"
+   set status 1
+} else {
+   puts "deflection: OK ${BugNumber}"
+}
+
+# Resume
+puts ""
+if { ${status} != 0 } {
+   puts "Faulty ${BugNumber}"
+} else {
+   puts "OK ${BugNumber}"
+}
+
 vinit
 vdisplay result
 vfit
diff --git a/tests/mesh/data/standard/M4 b/tests/mesh/data/standard/M4
index 14a7e2a338..be8dfb5033 100755
--- a/tests/mesh/data/standard/M4
+++ b/tests/mesh/data/standard/M4
@@ -1,7 +1,7 @@
 set TheFileName shading_112.brep
 set bug_area "OCC22687"
 if { [string compare $command "shading"] == 0 } {
-   set rel_tol 1.71
+   set rel_tol 1.7
 } else {
    set rel_tol 1.55
 }