Index: src/org/openstreetmap/josm/tools/Geometry.java
IDEA additional info:
Subsystem: com.intellij.openapi.diff.impl.patch.CharsetEP
<+>UTF-8
===================================================================
--- src/org/openstreetmap/josm/tools/Geometry.java	(date 1456352671000)
+++ src/org/openstreetmap/josm/tools/Geometry.java	(revision )
@@ -654,37 +654,11 @@
     }
 
     protected static double calcX(Node p1) {
-        double lat1, lon1, lat2, lon2;
-        double dlon, dlat;
-
-        lat1 = p1.getCoor().lat() * Math.PI / 180.0;
-        lon1 = p1.getCoor().lon() * Math.PI / 180.0;
-        lat2 = lat1;
-        lon2 = 0;
-
-        dlon = lon2 - lon1;
-        dlat = lat2 - lat1;
-
-        double a = Math.pow(Math.sin(dlat/2), 2) + Math.cos(lat1) * Math.cos(lat2) * Math.pow(Math.sin(dlon/2), 2);
-        double c = 2 * Math.atan2(Math.sqrt(a), Math.sqrt(1-a));
-        return 6367000 * c;
+        return Math.toRadians(p1.getCoor().lat()) * 6367000;
     }
 
     protected static double calcY(Node p1) {
-        double lat1, lon1, lat2, lon2;
-        double dlon, dlat;
-
-        lat1 = p1.getCoor().lat() * Math.PI / 180.0;
-        lon1 = p1.getCoor().lon() * Math.PI / 180.0;
-        lat2 = 0;
-        lon2 = lon1;
-
-        dlon = lon2 - lon1;
-        dlat = lat2 - lat1;
-
-        double a = Math.pow(Math.sin(dlat/2), 2) + Math.cos(lat1) * Math.cos(lat2) * Math.pow(Math.sin(dlon/2), 2);
-        double c = 2 * Math.atan2(Math.sqrt(a), Math.sqrt(1-a));
-        return 6367000 * c;
+        return Math.toRadians(p1.getCoor().lon()) * 6367000 * Math.cos(Math.toRadians(p1.getCoor().lat()));
     }
 
     /**