diff --git a/src/ol/geom/MultiPolygon.js b/src/ol/geom/MultiPolygon.js
index d2e47f058b..32132422ef 100644
--- a/src/ol/geom/MultiPolygon.js
+++ b/src/ol/geom/MultiPolygon.js
@@ -10,7 +10,7 @@ import MultiPoint from '../geom/MultiPoint.js';
 import Polygon from '../geom/Polygon.js';
 import SimpleGeometry from '../geom/SimpleGeometry.js';
 import {linearRingss as linearRingssArea} from '../geom/flat/area.js';
-import _ol_geom_flat_center_ from '../geom/flat/center.js';
+import {linearRingss as linearRingssCenter} from '../geom/flat/center.js';
 import _ol_geom_flat_closest_ from '../geom/flat/closest.js';
 import {linearRingssContainsXY} from '../geom/flat/contains.js';
 import _ol_geom_flat_deflate_ from '../geom/flat/deflate.js';
@@ -207,7 +207,7 @@ MultiPolygon.prototype.getEndss = function() {
  */
 MultiPolygon.prototype.getFlatInteriorPoints = function() {
   if (this.flatInteriorPointsRevision_ != this.getRevision()) {
-    const flatCenters = _ol_geom_flat_center_.linearRingss(
+    const flatCenters = linearRingssCenter(
       this.flatCoordinates, 0, this.endss_, this.stride);
     this.flatInteriorPoints_ = _ol_geom_flat_interiorpoint_.linearRingss(
       this.getOrientedFlatCoordinates(), 0, this.endss_, this.stride,
diff --git a/src/ol/geom/flat/center.js b/src/ol/geom/flat/center.js
index 27887f37d5..2e5b6519f2 100644
--- a/src/ol/geom/flat/center.js
+++ b/src/ol/geom/flat/center.js
@@ -2,7 +2,6 @@
  * @module ol/geom/flat/center
  */
 import {createEmpty, createOrUpdateFromFlatCoordinates} from '../../extent.js';
-const _ol_geom_flat_center_ = {};
 
 
 /**
@@ -12,7 +11,7 @@ const _ol_geom_flat_center_ = {};
  * @param {number} stride Stride.
  * @return {Array.<number>} Flat centers.
  */
-_ol_geom_flat_center_.linearRingss = function(flatCoordinates, offset, endss, stride) {
+export function linearRingss(flatCoordinates, offset, endss, stride) {
   const flatCenters = [];
   let extent = createEmpty();
   for (let i = 0, ii = endss.length; i < ii; ++i) {
@@ -22,5 +21,4 @@ _ol_geom_flat_center_.linearRingss = function(flatCoordinates, offset, endss, st
     offset = ends[ends.length - 1];
   }
   return flatCenters;
-};
-export default _ol_geom_flat_center_;
+}
diff --git a/src/ol/render/Feature.js b/src/ol/render/Feature.js
index 8731d7455f..369c65442c 100644
--- a/src/ol/render/Feature.js
+++ b/src/ol/render/Feature.js
@@ -5,7 +5,7 @@ import {nullFunction} from '../index.js';
 import {extend} from '../array.js';
 import {createOrUpdateFromCoordinate, createOrUpdateFromFlatCoordinates, getCenter, getHeight} from '../extent.js';
 import GeometryType from '../geom/GeometryType.js';
-import _ol_geom_flat_center_ from '../geom/flat/center.js';
+import {linearRingss as linearRingssCenter} from '../geom/flat/center.js';
 import _ol_geom_flat_interiorpoint_ from '../geom/flat/interiorpoint.js';
 import _ol_geom_flat_interpolate_ from '../geom/flat/interpolate.js';
 import _ol_geom_flat_transform_ from '../geom/flat/transform.js';
@@ -137,7 +137,7 @@ RenderFeature.prototype.getFlatInteriorPoint = function() {
  */
 RenderFeature.prototype.getFlatInteriorPoints = function() {
   if (!this.flatInteriorPoints_) {
-    const flatCenters = _ol_geom_flat_center_.linearRingss(
+    const flatCenters = linearRingssCenter(
       this.flatCoordinates_, 0, this.ends_, 2);
     this.flatInteriorPoints_ = _ol_geom_flat_interiorpoint_.linearRingss(
       this.flatCoordinates_, 0, this.ends_, 2, flatCenters);
diff --git a/test/spec/ol/geom/flat/center.test.js b/test/spec/ol/geom/flat/center.test.js
index 21a23bc959..bedb65b0a6 100644
--- a/test/spec/ol/geom/flat/center.test.js
+++ b/test/spec/ol/geom/flat/center.test.js
@@ -1,4 +1,4 @@
-import _ol_geom_flat_center_ from '../../../../../src/ol/geom/flat/center.js';
+import {linearRingss as linearRingssCenter} from '../../../../../src/ol/geom/flat/center.js';
 import MultiPolygon from '../../../../../src/ol/geom/MultiPolygon.js';
 
 
@@ -10,7 +10,7 @@ describe('ol.geom.flat.center', function() {
       const squareMultiPoly = new MultiPolygon([[
         [[0, 0], [0, 1], [1, 1], [1, 0], [0, 0]]
       ]]);
-      const got = _ol_geom_flat_center_.linearRingss(
+      const got = linearRingssCenter(
         squareMultiPoly.flatCoordinates,
         0,
         squareMultiPoly.endss_,
@@ -28,7 +28,7 @@ describe('ol.geom.flat.center', function() {
           [[3, 0], [3, 1], [4, 1], [4, 0], [3, 0]]
         ]
       ]);
-      const got = _ol_geom_flat_center_.linearRingss(
+      const got = linearRingssCenter(
         squareMultiPoly.flatCoordinates,
         0,
         squareMultiPoly.endss_,
@@ -42,7 +42,7 @@ describe('ol.geom.flat.center', function() {
         [[0, 0], [0, 5], [5, 5], [5, 0], [0, 0]],
         [[1, 1], [1, 4], [4, 4], [4, 1], [1, 1]]
       ]]);
-      const got = _ol_geom_flat_center_.linearRingss(
+      const got = linearRingssCenter(
         polywithHole.flatCoordinates,
         0,
         polywithHole.endss_,