diff --git a/lib/matplotlib/axes/_base.py b/lib/matplotlib/axes/_base.py
index ea9bb7a2c228..a9d98444ace4 100644
--- a/lib/matplotlib/axes/_base.py
+++ b/lib/matplotlib/axes/_base.py
@@ -1856,6 +1856,8 @@ def add_patch(self, p):
         if p.get_clip_path() is None:
             p.set_clip_path(self.patch)
         self._update_patch_limits(p)
+        if self.name != 'rectilinear':
+            p.get_path()._interpolation_steps = max(p.get_path()._interpolation_steps, 100)
         self.patches.append(p)
         p._remove_method = lambda h: self.patches.remove(h)
         return p
diff --git a/lib/matplotlib/tests/baseline_images/test_patches/polar_proj.png b/lib/matplotlib/tests/baseline_images/test_patches/polar_proj.png
new file mode 100644
index 000000000000..9495ec500679
Binary files /dev/null and b/lib/matplotlib/tests/baseline_images/test_patches/polar_proj.png differ
diff --git a/lib/matplotlib/tests/test_patches.py b/lib/matplotlib/tests/test_patches.py
index f7722241e47b..3b55c284214b 100644
--- a/lib/matplotlib/tests/test_patches.py
+++ b/lib/matplotlib/tests/test_patches.py
@@ -337,3 +337,17 @@ def test_multi_color_hatch():
         with mstyle.context({'hatch.color': 'C{}'.format(i)}):
             r = Rectangle((i-.8/2, 5), .8, 1, hatch='//', fc='none')
         ax.add_patch(r)
+
+
+@image_comparison(baseline_images=['polar_proj'], extensions=['png'])
+def test_adding_rectangle_patch_with_polar_projection():
+    fig = plt.figure()
+    ax = fig.add_subplot(111, projection='polar')
+
+    # add quadrant as example
+    ax.add_patch(
+        mpatches.Rectangle(
+            (0, 1), width=np.pi * 0.5, height=0.5
+        )
+    )
+    ax.set_rmax(2)