Index: src/org/openstreetmap/josm/data/projection/Projections.java
IDEA additional info:
Subsystem: com.intellij.openapi.diff.impl.patch.CharsetEP
<+>UTF-8
===================================================================
--- src/org/openstreetmap/josm/data/projection/Projections.java	(date 1456352671000)
+++ src/org/openstreetmap/josm/data/projection/Projections.java	(revision )
@@ -40,6 +40,7 @@
 import org.openstreetmap.josm.data.projection.proj.PolarStereographic;
 import org.openstreetmap.josm.data.projection.proj.Proj;
 import org.openstreetmap.josm.data.projection.proj.ProjFactory;
+import org.openstreetmap.josm.data.projection.proj.Sinusoidal;
 import org.openstreetmap.josm.data.projection.proj.SwissObliqueMercator;
 import org.openstreetmap.josm.data.projection.proj.TransverseMercator;
 import org.openstreetmap.josm.gui.preferences.projection.ProjectionChoice;
@@ -94,6 +95,7 @@
         registerBaseProjection("merc", Mercator.class, "core");
         registerBaseProjection("omerc", ObliqueMercator.class, "core");
         registerBaseProjection("somerc", SwissObliqueMercator.class, "core");
+        registerBaseProjection("sinu", Sinusoidal.class, "core");
         registerBaseProjection("stere", PolarStereographic.class, "core");
         registerBaseProjection("sterea", DoubleStereographic.class, "core");
         registerBaseProjection("tmerc", TransverseMercator.class, "core");
Index: data_nodist/projection/josm-epsg
IDEA additional info:
Subsystem: com.intellij.openapi.diff.impl.patch.CharsetEP
<+>UTF-8
===================================================================
--- data_nodist/projection/josm-epsg	(date 1456352671000)
+++ data_nodist/projection/josm-epsg	(revision )
@@ -417,3 +417,8 @@
 <6811> +proj=omerc +lat_0=45.91666666666666 +lonc=-123 +alpha=295 +k=1 +x_0=7000000.00000248 +y_0=-2999999.999988 +no_uoff +gamma=295 +ellps=GRS80 +units=ft +no_defs +bounds=-125,45,-121,47 <>
 # NAD83(2011) / Oregon Columbia River West zone (m)
 <6810> +proj=omerc +lat_0=45.91666666666666 +lonc=-123 +alpha=295 +k=1 +x_0=7000000 +y_0=-3000000 +no_uoff +gamma=295 +ellps=GRS80 +units=m +no_defs +bounds=-125,45,-121,47 <>
+##
+## Following entries use Sinusoidal projection
+##
+# ESRI:54008 / World Sinusoidal
+<54008> +proj=sinu +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
\ No newline at end of file
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 )
@@ -30,6 +30,8 @@
 import org.openstreetmap.josm.data.osm.Relation;
 import org.openstreetmap.josm.data.osm.RelationMember;
 import org.openstreetmap.josm.data.osm.Way;
+import org.openstreetmap.josm.data.projection.Projection;
+import org.openstreetmap.josm.data.projection.Projections;
 
 /**
  * Some tools for geometry related tasks.
@@ -629,64 +631,14 @@
 
     /**
      * Returns area of a closed way in square meters.
-     * (approximate(?), but should be OK for small areas)
      *
-     * Relies on the current projection: Works correctly, when
-     * one unit in projected coordinates corresponds to one meter.
-     * This is true for most projections, but not for WGS84 and
-     * Mercator (EPSG:3857).
-     *
      * @param way Way to measure, should be closed (first node is the same as last node)
      * @return area of the closed way.
      */
     public static double closedWayArea(Way way) {
-
-        //http://local.wasp.uwa.edu.au/~pbourke/geometry/polyarea/
-        double area = 0;
-        Node lastN = null;
-        for (Node n : way.getNodes()) {
-            if (lastN != null) {
-                area += (calcX(n) * calcY(lastN)) - (calcY(n) * calcX(lastN));
+        return getAreaAndPerimeter(way.getNodes(), Projections.getProjectionByCode("EPSG:54008")).getArea();
-            }
+    }
-            lastN = n;
-        }
-        return Math.abs(area/2);
-    }
 
-    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;
-    }
-
-    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;
-    }
-
     /**
      * Determines whether a way is oriented clockwise.
      *
@@ -985,14 +937,27 @@
      * @return area and perimeter
      */
     public static AreaAndPerimeter getAreaAndPerimeter(List<Node> nodes) {
+        return getAreaAndPerimeter(nodes, Main.getProjection());
+    }
+
+    /**
+     * Calculate area and perimeter length of a polygon in the given projection.
+     *
+     * @param nodes the list of nodes representing the polygon
+     * @param projection the projection to use for the calculation
+     * @return area and perimeter
+     */
+    public static AreaAndPerimeter getAreaAndPerimeter(List<Node> nodes, Projection projection) {
+        CheckParameterUtil.ensureParameterNotNull(nodes, "nodes");
+        CheckParameterUtil.ensureParameterNotNull(projection, "projection");
         double area = 0;
         double perimeter = 0;
         if (!nodes.isEmpty()) {
             boolean closed = nodes.get(0) == nodes.get(nodes.size() - 1);
             int numSegments = closed ? nodes.size() - 1 : nodes.size();
-            EastNorth p1 = nodes.get(0).getEastNorth();
+            EastNorth p1 = projection.latlon2eastNorth(nodes.get(0).getCoor());
             for (int i = 1; i <= numSegments; i++) {
-                EastNorth p2 = nodes.get(i == numSegments ? 0 : i).getEastNorth();
+                final EastNorth p2 = projection.latlon2eastNorth(nodes.get(i == numSegments ? 0 : i).getCoor());
                 area += p1.east() * p2.north() - p2.east() * p1.north();
                 perimeter += p1.distance(p2);
                 p1 = p2;
Index: src/org/openstreetmap/josm/data/projection/proj/Sinusoidal.java
IDEA additional info:
Subsystem: com.intellij.openapi.diff.impl.patch.CharsetEP
<+>UTF-8
===================================================================
--- src/org/openstreetmap/josm/data/projection/proj/Sinusoidal.java	(revision )
+++ src/org/openstreetmap/josm/data/projection/proj/Sinusoidal.java	(revision )
@@ -0,0 +1,37 @@
+// License: GPL. For details, see LICENSE file.
+package org.openstreetmap.josm.data.projection.proj;
+
+import org.openstreetmap.josm.data.Bounds;
+
+import static org.openstreetmap.josm.tools.I18n.tr;
+
+/**
+ * Sinusoidal projection (aka. Sanson–Flamsteed, Mercator equal-area projection)
+ */
+public class Sinusoidal extends AbstractProj {
+
+    @Override
+    public String getName() {
+        return tr("Sinusoidal");
+    }
+
+    @Override
+    public String getProj4Id() {
+        return "sinu";
+    }
+
+    @Override
+    public double[] project(double lat_rad, double lon_rad) {
+        return new double[]{lon_rad * Math.cos(lat_rad), lat_rad};
+    }
+
+    @Override
+    public double[] invproject(double east, double north) {
+        return new double[]{east / Math.cos(north), north};
+    }
+
+    @Override
+    public Bounds getAlgorithmBounds() {
+        return new Bounds(-90, -180, 90, 180, false);
+    }
+}
