diff --git a/lib/matplotlib/tests/baseline_images/test_axes/pie_center_radius.png b/lib/matplotlib/tests/baseline_images/test_axes/pie_center_radius.png
index 1f925b75d9d3..f7b7108ce79b 100644
Binary files a/lib/matplotlib/tests/baseline_images/test_axes/pie_center_radius.png and b/lib/matplotlib/tests/baseline_images/test_axes/pie_center_radius.png differ
diff --git a/lib/matplotlib/tests/test_axes.py b/lib/matplotlib/tests/test_axes.py
index 2341032dcf84..f747e65c8e3a 100644
--- a/lib/matplotlib/tests/test_axes.py
+++ b/lib/matplotlib/tests/test_axes.py
@@ -4913,9 +4913,10 @@ def test_pie_center_radius():
             autopct='%1.1f%%', shadow=True, startangle=90,
             wedgeprops={'linewidth': 0}, center=(1, 2), radius=1.5)
 
-    plt.annotate("Center point", xy=(1, 2), xytext=(1, 1.5),
+    plt.annotate("Center point", xy=(1, 2), xytext=(1, 1.3),
                  arrowprops=dict(arrowstyle="->",
-                                 connectionstyle="arc3"))
+                                 connectionstyle="arc3"),
+                 bbox=dict(boxstyle="square", facecolor="lightgrey"))
     # Set aspect ratio to be equal so that pie is drawn as a circle.
     plt.axis('equal')
 
diff --git a/lib/matplotlib/text.py b/lib/matplotlib/text.py
index 1714cc5901c4..bc865aa4fa03 100644
--- a/lib/matplotlib/text.py
+++ b/lib/matplotlib/text.py
@@ -1949,7 +1949,10 @@ def draw(self, renderer):
             self._renderer = renderer
         if not self.get_visible() or not self._check_xy(renderer):
             return
+        # Update text positions before `Text.draw` would, so that the
+        # FancyArrowPatch is correctly positioned.
         self.update_positions(renderer)
+        self.update_bbox_position_size(renderer)
         if self.arrow_patch is not None:   # FancyArrowPatch
             if self.arrow_patch.figure is None and self.figure is not None:
                 self.arrow_patch.figure = self.figure