diff --git a/doc/classes/AStar.xml b/doc/classes/AStar.xml
index 03831964720..fef1dce971f 100644
--- a/doc/classes/AStar.xml
+++ b/doc/classes/AStar.xml
@@ -18,6 +18,7 @@
 		        return min(0, abs(u - v) - 1)
 		[/codeblock]
 		[method _estimate_cost] should return a lower bound of the distance, i.e. [code]_estimate_cost(u, v) <= _compute_cost(u, v)[/code]. This serves as a hint to the algorithm because the custom [code]_compute_cost[/code] might be computation-heavy. If this is not the case, make [method _estimate_cost] return the same value as [method _compute_cost] to provide the algorithm with the most accurate information.
+		If the default [method _estimate_cost] and [method _compute_cost] methods are used, or if the supplied [method _estimate_cost] method returns a lower bound of the cost, then the paths returned by A* will be the lowest cost paths. Here, the cost of a path equals to the sum of the [method _compute_cost] results of all segments in the path multiplied by the [code]weight_scale[/code]s of the end points of the respective segments. If the default methods are used and the [code]weight_scale[/code]s of all points are set to [code]1.0[/code], then this equals to the sum of Euclidean distances of all segments in the path.
 	</description>
 	<tutorials>
 	</tutorials>
@@ -56,7 +57,8 @@
 			<argument index="2" name="weight_scale" type="float" default="1.0">
 			</argument>
 			<description>
-				Adds a new point at the given position with the given identifier. The algorithm prefers points with lower [code]weight_scale[/code] to form a path. The [code]id[/code] must be 0 or larger, and the [code]weight_scale[/code] must be 1 or larger.
+				Adds a new point at the given position with the given identifier. The [code]id[/code] must be 0 or larger, and the [code]weight_scale[/code] must be 1 or larger.
+				The [code]weight_scale[/code] is multiplied by the result of [method _compute_cost] when determining the overall cost of traveling across a segment from a neighboring point to this point. Thus, all else being equal, the algorithm prefers points with lower [code]weight_scale[/code]s to form a path.
 				[codeblock]
 				var astar = AStar.new()
 				astar.add_point(1, Vector3(1, 0, 0), 4) # Adds the point (1, 0, 0) with weight_scale 4 and id 1
@@ -315,7 +317,7 @@
 			<argument index="1" name="weight_scale" type="float">
 			</argument>
 			<description>
-				Sets the [code]weight_scale[/code] for the point with the given [code]id[/code].
+				Sets the [code]weight_scale[/code] for the point with the given [code]id[/code]. The [code]weight_scale[/code] is multiplied by the result of [method _compute_cost] when determining the overall cost of traveling across a segment from a neighboring point to this point.
 			</description>
 		</method>
 	</methods>
diff --git a/doc/classes/AStar2D.xml b/doc/classes/AStar2D.xml
index b313597d14e..8de9797a7ad 100644
--- a/doc/classes/AStar2D.xml
+++ b/doc/classes/AStar2D.xml
@@ -43,7 +43,8 @@
 			<argument index="2" name="weight_scale" type="float" default="1.0">
 			</argument>
 			<description>
-				Adds a new point at the given position with the given identifier. The algorithm prefers points with lower [code]weight_scale[/code] to form a path. The [code]id[/code] must be 0 or larger, and the [code]weight_scale[/code] must be 1 or larger.
+				Adds a new point at the given position with the given identifier. The [code]id[/code] must be 0 or larger, and the [code]weight_scale[/code] must be 1 or larger.
+				The [code]weight_scale[/code] is multiplied by the result of [method _compute_cost] when determining the overall cost of traveling across a segment from a neighboring point to this point. Thus, all else being equal, the algorithm prefers points with lower [code]weight_scale[/code]s to form a path.
 				[codeblock]
 				var astar = AStar2D.new()
 				astar.add_point(1, Vector2(1, 0), 4) # Adds the point (1, 0) with weight_scale 4 and id 1
@@ -298,7 +299,7 @@
 			<argument index="1" name="weight_scale" type="float">
 			</argument>
 			<description>
-				Sets the [code]weight_scale[/code] for the point with the given [code]id[/code].
+				Sets the [code]weight_scale[/code] for the point with the given [code]id[/code]. The [code]weight_scale[/code] is multiplied by the result of [method _compute_cost] when determining the overall cost of traveling across a segment from a neighboring point to this point.
 			</description>
 		</method>
 	</methods>