diff --git a/src/traces/pie/plot.js b/src/traces/pie/plot.js
index b8505618ef9..624d0825d59 100644
--- a/src/traces/pie/plot.js
+++ b/src/traces/pie/plot.js
@@ -559,18 +559,31 @@ function prerenderTitles(cdModule, gd) {
 }
 
 function transformInsideText(textBB, pt, cd0) {
-    var textDiameter = Math.sqrt(textBB.width * textBB.width + textBB.height * textBB.height);
+    var r = cd0.r || pt.rpx1;
+    var rInscribed = pt.rInscribed;
+
+    var isEmpty = pt.startangle === pt.stopangle;
+    if(isEmpty) {
+        return {
+            rCenter: 1 - rInscribed,
+            scale: 0,
+            rotate: 0,
+            textPosAngle: 0
+        };
+    }
+
+    var ring = pt.ring;
+    var isCircle = (ring === 1) && (Math.abs(pt.startangle - pt.stopangle) === Math.PI * 2);
+
     var halfAngle = pt.halfangle;
     var midAngle = pt.midangle;
-    var ring = pt.ring;
-    var rInscribed = pt.rInscribed;
-    var r = cd0.r || pt.rpx1;
+
     var orientation = cd0.trace.insidetextorientation;
     var isHorizontal = orientation === 'horizontal';
     var isTangential = orientation === 'tangential';
     var isRadial = orientation === 'radial';
     var isAuto = orientation === 'auto';
-    var isCircle = (ring === 1) && (Math.abs(pt.startangle - pt.stopangle) === Math.PI * 2);
+
     var allTransforms = [];
     var newT;
 
@@ -616,6 +629,8 @@ function transformInsideText(textBB, pt, cd0) {
         // this inscribes the text rectangle in a circle, which is then inscribed
         // in the slice, so it will be an underestimate, which some day we may want
         // to improve so this case can get more use
+        var textDiameter = Math.sqrt(textBB.width * textBB.width + textBB.height * textBB.height);
+
         newT = {
             scale: rInscribed * r * 2 / textDiameter,
 
diff --git a/test/image/baselines/sunburst_zero_values_textfit.png b/test/image/baselines/sunburst_zero_values_textfit.png
new file mode 100644
index 00000000000..01f075a6967
Binary files /dev/null and b/test/image/baselines/sunburst_zero_values_textfit.png differ
diff --git a/test/image/mocks/sunburst_zero_values_textfit.json b/test/image/mocks/sunburst_zero_values_textfit.json
new file mode 100644
index 00000000000..187c12231ec
--- /dev/null
+++ b/test/image/mocks/sunburst_zero_values_textfit.json
@@ -0,0 +1,48 @@
+{
+    "data": [
+        {
+            "ids": [
+                "A/a1",
+                "A/a0",
+                "B/b1",
+                "B/b0",
+                "A",
+                "B"
+            ],
+            "labels": [
+                "a",
+                "!a?",
+                "b",
+                "!b?",
+                "A",
+                "B"
+            ],
+            "parents": [
+                "A",
+                "A",
+                "B",
+                "B",
+                "",
+                ""
+            ],
+            "type": "sunburst",
+            "insidetextorientation": "horizontal",
+            "branchvalues": "total",
+            "values": [
+                2,
+                0,
+                1,
+                0,
+                2,
+                1
+            ]
+        }
+    ],
+    "layout": {
+        "width": 400,
+        "height": 400,
+        "font": {
+            "size": 20
+        }
+    }
+}