diff --git a/arrow-arith/src/temporal.rs b/arrow-arith/src/temporal.rs
index 7af743018c39..a3fe7e8ad4a4 100644
--- a/arrow-arith/src/temporal.rs
+++ b/arrow-arith/src/temporal.rs
@@ -658,12 +658,6 @@ pub(crate) use return_compute_error_with;
 
 // Internal trait, which is used for mapping values from DateLike structures
 trait ChronoDateExt {
-    /// Returns a value in range `1..=4` indicating the quarter this date falls into
-    fn quarter(&self) -> u32;
-
-    /// Returns a value in range `0..=3` indicating the quarter (zero-based) this date falls into
-    fn quarter0(&self) -> u32;
-
     /// Returns the day of week; Monday is encoded as `0`, Tuesday as `1`, etc.
     fn num_days_from_monday(&self) -> i32;
 
@@ -672,14 +666,6 @@ trait ChronoDateExt {
 }
 
 impl<T: Datelike> ChronoDateExt for T {
-    fn quarter(&self) -> u32 {
-        self.quarter0() + 1
-    }
-
-    fn quarter0(&self) -> u32 {
-        self.month0() / 3
-    }
-
     fn num_days_from_monday(&self) -> i32 {
         self.weekday().num_days_from_monday() as i32
     }