diff --git a/sqlglot/dialects/dialect.py b/sqlglot/dialects/dialect.py
index a117c3f610..7f5765c359 100644
--- a/sqlglot/dialects/dialect.py
+++ b/sqlglot/dialects/dialect.py
@@ -721,6 +721,7 @@ class Dialect(metaclass=_Dialect):
             exp.Exp,
             exp.Ln,
             exp.Log,
+            exp.Pi,
             exp.Pow,
             exp.Quantile,
             exp.Round,
diff --git a/sqlglot/expressions.py b/sqlglot/expressions.py
index 256804f870..e18cc376cc 100644
--- a/sqlglot/expressions.py
+++ b/sqlglot/expressions.py
@@ -7201,6 +7201,10 @@ class VectorSearch(Func):
     }
 
 
+class Pi(Func):
+    arg_types = {}
+
+
 class Pow(Binary, Func):
     _sql_names = ["POWER", "POW"]
 
diff --git a/tests/dialects/test_snowflake.py b/tests/dialects/test_snowflake.py
index b6afb16609..79a7fc5afd 100644
--- a/tests/dialects/test_snowflake.py
+++ b/tests/dialects/test_snowflake.py
@@ -73,6 +73,7 @@ def test_snowflake(self):
         self.validate_identity("SELECT TRANSLATE(column_name, 'abc', '123')")
         self.validate_identity("SELECT UNICODE(column_name)")
         self.validate_identity("SELECT SPLIT_PART('11.22.33', '.', 1)")
+        self.validate_identity("SELECT PI()")
         self.validate_identity("SELECT DEGREES(PI() / 3)")
         self.validate_identity("SELECT DEGREES(1)")
         self.validate_identity("PARSE_URL('https://example.com/path')")
diff --git a/tests/fixtures/optimizer/annotate_functions.sql b/tests/fixtures/optimizer/annotate_functions.sql
index 372974b6e6..e89d56a8d8 100644
--- a/tests/fixtures/optimizer/annotate_functions.sql
+++ b/tests/fixtures/optimizer/annotate_functions.sql
@@ -1927,6 +1927,10 @@ INT;
 POSITION('abc', 'abcdef', 1);
 INT;
 
+# dialect: snowflake
+PI();
+DOUBLE;
+
 # dialect: snowflake
 POW(tbl.double_col, 2);
 DOUBLE;