diff --git a/plugins/convertPathData.js b/plugins/convertPathData.js
index 241e54e47..9bba8718e 100644
--- a/plugins/convertPathData.js
+++ b/plugins/convertPathData.js
@@ -341,7 +341,7 @@ function filters(path, params) {
                         suffix = stringify([nextLonghand]);
                     }
                     if (isConvex(nextData) && isArc(nextData, relCircle)) {
-                        angle += findArcAngle(nextData);
+                        angle += findRelArcAngle(nextData, relCircle);
                         if (angle - 2 * Math.PI > 1e-3) break; // more than 360°
                         if (angle > Math.PI) arc.data[3] = 1;
                         arcCurves.push(next);
@@ -928,7 +928,27 @@ function findArcAngle(curve) {
         y2 = curve[3] - curve[5];
 
     return Math.PI - Math.acos(
-            (x1 * x2 + y1 * y2 ) /
+            (x1 * x2 + y1 * y2) /
+            Math.sqrt((x1 * x1 + y1 * y1) * (x2 * x2 + y2 * y2))
+        );
+}
+
+/**
+ * Finds angle of a curve fitting the given arc.
+
+ * @param {Array} curve
+ * @param {Object} relCircle
+ * @return {Number} angle
+ */
+
+function findRelArcAngle(curve, relCircle) {
+    var x1 = relCircle.center[0],
+        y1 = relCircle.center[1],
+        x2 = curve[4] - relCircle.center[0],
+        y2 = curve[5] - relCircle.center[1];
+
+    return Math.PI - Math.acos(
+            (x1 * x2 + y1 * y2) /
             Math.sqrt((x1 * x1 + y1 * y1) * (x2 * x2 + y2 * y2))
         );
 }
diff --git a/test/plugins/convertPathData.14.svg b/test/plugins/convertPathData.14.svg
index b15369a8e..3d531024e 100644
--- a/test/plugins/convertPathData.14.svg
+++ b/test/plugins/convertPathData.14.svg
@@ -5,6 +5,7 @@
     <path d="M41.008 0.102c1.891 0.387 3.393 1.841 3.849 3.705"/>
     <path d="M7.234 19.474C6.562 19.811 5.803 20 5 20c-2.761 0-5-2.239-5-5 0-1.767 0.917-3.32 2.301-4.209"/>
     <path d="M60 0c-2.761 0-5 2.239-5 5s2.239 5 5 5s5-2.239 5-5S62.761 0 60 0z"/>
+    <path d="M15 23.54 c-2.017,0 -3.87,-.7 -5.33,-1.87 -.032,-.023 -.068,-.052 -.11,-.087 .042,.035 .078,.064 .11,.087 .048,.04 .08,.063 .08,.063 "/>
 </svg>
 
 @@@
@@ -16,4 +17,5 @@
     <path d="M41.008.102a5.006 5.006 0 0 1 3.85 3.705"/>
     <path d="M7.234 19.474A5 5 0 0 1 2.3 10.79"/>
     <path d="M60 0a5 5 0 1 0 0 10 5 5 0 0 0 0-10z"/>
+    <path d="M15 23.54a8.493 8.493 0 0 1-5.25-1.807"/>
 </svg>