diff --git a/crates/typst-layout/src/shapes.rs b/crates/typst-layout/src/shapes.rs
index a35021721..db9acece3 100644
--- a/crates/typst-layout/src/shapes.rs
+++ b/crates/typst-layout/src/shapes.rs
@@ -348,29 +348,48 @@ fn layout_shape(
             pod.size = crate::pad::shrink(region.size, &inset);
         }
 
-        // Layout the child.
-        frame = crate::layout_frame(engine, child, locator.relayout(), styles, pod)?;
-
-        // If the child is a square or circle, relayout with full expansion into
-        // square region to make sure the result is really quadratic.
+        // If the shape is quadratic, we first measure it to determine its size
+        // and then layout with full expansion to force the aspect ratio and
+        // make sure it's really quadratic.
         if kind.is_quadratic() {
-            let length = frame.size().max_by_side().min(pod.size.min_by_side());
-            let quad_pod = Region::new(Size::splat(length), Axes::splat(true));
-            frame = crate::layout_frame(engine, child, locator, styles, quad_pod)?;
+            let length = match quadratic_size(pod) {
+                Some(length) => length,
+                None => {
+                    // Take as much as the child wants, but without overflowing.
+                    crate::layout_frame(engine, child, locator.relayout(), styles, pod)?
+                        .size()
+                        .max_by_side()
+                        .min(pod.size.min_by_side())
+                }
+            };
+
+            pod = Region::new(Size::splat(length), Axes::splat(true));
         }
 
+        // Layout the child.
+        frame = crate::layout_frame(engine, child, locator, styles, pod)?;
+
         // Apply the inset.
         if has_inset {
             crate::pad::grow(&mut frame, &inset);
         }
     } else {
-        // The default size that a shape takes on if it has no child and
-        // enough space.
-        let default = Size::new(Abs::pt(45.0), Abs::pt(30.0));
-        let mut size = region.expand.select(region.size, default.min(region.size));
-        if kind.is_quadratic() {
-            size = Size::splat(size.min_by_side());
-        }
+        // The default size that a shape takes on if it has no child and no
+        // forced sizes.
+        let default = Size::new(Abs::pt(45.0), Abs::pt(30.0)).min(region.size);
+
+        let size = if kind.is_quadratic() {
+            Size::splat(match quadratic_size(region) {
+                Some(length) => length,
+                None => default.min_by_side(),
+            })
+        } else {
+            // For each dimension, pick the region size if forced, otherwise
+            // use the default size (or the region size if the default
+            // is too large for the region).
+            region.expand.select(region.size, default)
+        };
+
         frame = Frame::soft(size);
     }
 
@@ -411,6 +430,24 @@ fn layout_shape(
     Ok(frame)
 }
 
+/// Determines the forced size of a quadratic shape based on the region, if any.
+///
+/// The size is forced if at least one axis is expanded because `expand` is
+/// `true` for axes whose size was manually specified by the user.
+fn quadratic_size(region: Region) -> Option<Abs> {
+    if region.expand.x && region.expand.y {
+        // If both `width` and `height` are specified, we choose the
+        // smaller one.
+        Some(region.size.x.min(region.size.y))
+    } else if region.expand.x {
+        Some(region.size.x)
+    } else if region.expand.y {
+        Some(region.size.y)
+    } else {
+        None
+    }
+}
+
 /// Creates a new rectangle as a path.
 pub fn clip_rect(
     size: Size,
diff --git a/tests/ref/circle-beyond-page-width-overflows.png b/tests/ref/circle-beyond-page-width-overflows.png
new file mode 100644
index 000000000..941cb0092
Binary files /dev/null and b/tests/ref/circle-beyond-page-width-overflows.png differ
diff --git a/tests/ref/circle-size-beyond-default.png b/tests/ref/circle-size-beyond-default.png
new file mode 100644
index 000000000..f25aad070
Binary files /dev/null and b/tests/ref/circle-size-beyond-default.png differ
diff --git a/tests/ref/rect-size-beyond-default.png b/tests/ref/rect-size-beyond-default.png
new file mode 100644
index 000000000..1f4d80fe1
Binary files /dev/null and b/tests/ref/rect-size-beyond-default.png differ
diff --git a/tests/ref/square-overflow.png b/tests/ref/square-no-overflow.png
similarity index 100%
rename from tests/ref/square-overflow.png
rename to tests/ref/square-no-overflow.png
diff --git a/tests/ref/square-overflow-forced-height.png b/tests/ref/square-overflow-forced-height.png
new file mode 100644
index 000000000..f7cb0ee35
Binary files /dev/null and b/tests/ref/square-overflow-forced-height.png differ
diff --git a/tests/ref/square-overflow-forced-width.png b/tests/ref/square-overflow-forced-width.png
new file mode 100644
index 000000000..466718168
Binary files /dev/null and b/tests/ref/square-overflow-forced-width.png differ
diff --git a/tests/ref/square-size-beyond-default.png b/tests/ref/square-size-beyond-default.png
new file mode 100644
index 000000000..a513a7db1
Binary files /dev/null and b/tests/ref/square-size-beyond-default.png differ
diff --git a/tests/suite/visualize/circle.typ b/tests/suite/visualize/circle.typ
index 43459eb5e..0687e0682 100644
--- a/tests/suite/visualize/circle.typ
+++ b/tests/suite/visualize/circle.typ
@@ -67,3 +67,15 @@ Expanded by height.
   circle(width: 10%),
   circle(height: 50%),
 )
+
+--- circle-size-beyond-default ---
+// Test that setting a circle's height beyond its default sizes it correctly.
+#circle()
+#circle(height: 60pt)
+#circle(width: 60pt)
+#circle(radius: 30pt)
+
+--- circle-beyond-page-width-overflows ---
+// Test that sizing a circle beyond the page width correctly overflows the page.
+#set page(height: 100pt)
+#circle(width: 150%)
diff --git a/tests/suite/visualize/rect.typ b/tests/suite/visualize/rect.typ
index f84fafcb1..5dfe29f3f 100644
--- a/tests/suite/visualize/rect.typ
+++ b/tests/suite/visualize/rect.typ
@@ -105,3 +105,9 @@
 #align(right, rect(width: -1cm, fill: gradient.linear(red, blue))[Reverse right])
 
 #align(right, rect(width: 1cm, fill: gradient.linear(red, blue))[Right])
+
+--- rect-size-beyond-default ---
+// Test that setting a rectangle's height beyond its default sizes it correctly.
+#rect()
+#rect(height: 60pt)
+#rect(width: 60pt)
diff --git a/tests/suite/visualize/square.typ b/tests/suite/visualize/square.typ
index b346561df..bb7bbd9d6 100644
--- a/tests/suite/visualize/square.typ
+++ b/tests/suite/visualize/square.typ
@@ -77,11 +77,25 @@
 #set page(width: 20pt, height: 10pt, margin: 0pt)
 #stack(dir: ltr, square(fill: forest), square(fill: conifer))
 
---- square-overflow ---
+--- square-no-overflow ---
 // Test that square doesn't overflow due to its aspect ratio.
 #set page(width: 40pt, height: 25pt, margin: 5pt)
-#square(width: 100%)
-#square(width: 100%)[Hello there]
+#square()
+#square[Hello there]
+
+--- square-overflow-forced-width ---
+// Test that a width-overflowing square is laid out regardless of the
+// presence of inner content.
+#set page(width: 60pt, height: 100pt)
+#square(width: 150%)
+#square(width: 150%)[Hello there]
+
+--- square-overflow-forced-height ---
+// Test that a height-overflowing square is laid out regardless of the
+// presence of inner content.
+#set page(width: 120pt, height: 60pt)
+#square(height: 150%)
+#square(height: 150%)[Hello there]
 
 --- square-size-relative-invalid ---
 // Size cannot be relative because we wouldn't know
@@ -144,3 +158,10 @@
 // Test that square sets correct base for its content.
 #set page(height: 80pt)
 #square(width: 40%, rect(width: 60%, height: 80%))
+
+--- square-size-beyond-default ---
+// Test that setting a square's height beyond its default sizes it correctly.
+#square()
+#square(height: 60pt)
+#square(width: 60pt)
+#square(size: 60pt)