diff --git a/DIRECTORY.md b/DIRECTORY.md
index 0c21b9537fc1..80e69074ba76 100644
--- a/DIRECTORY.md
+++ b/DIRECTORY.md
@@ -605,6 +605,7 @@
   * [Maclaurin Series](maths/maclaurin_series.py)
   * [Manhattan Distance](maths/manhattan_distance.py)
   * [Matrix Exponentiation](maths/matrix_exponentiation.py)
+  * [Max Sectors Of Circle](maths/max_sectors_of_circle.py)
   * [Max Sum Sliding Window](maths/max_sum_sliding_window.py)
   * [Median Of Two Arrays](maths/median_of_two_arrays.py)
   * [Miller Rabin](maths/miller_rabin.py)
diff --git a/maths/max_sectors_of_circle.py b/maths/max_sectors_of_circle.py
new file mode 100644
index 000000000000..ac8855259519
--- /dev/null
+++ b/maths/max_sectors_of_circle.py
@@ -0,0 +1,28 @@
+def max_sectors_of_circle(num_cuts: float) -> float:
+    """
+    returns the maximum amount of
+    sectors a circle can be divided
+    by if cut 'num_cuts' times
+
+    >>> max_sectors_of_circle(54)
+    1486.0
+    >>> max_sectors_of_circle(7)
+    29.0
+    >>> max_sectors_of_circle(22.5)
+    265.375
+    >>> max_sectors_of_circle(-222)
+    -1
+    >>> max_sectors_of_circle("-222")
+    Traceback (most recent call last):
+    TypeError: num_cuts must be a numeric value.
+    """
+
+    if not isinstance(num_cuts, (int, float)):
+        raise TypeError("num_cuts must be a numeric value.")
+    return ((num_cuts + 2 + num_cuts**2) * 0.5) if num_cuts >= 0 else -1
+
+
+if __name__ == "__main__":
+    import doctest
+
+    doctest.testmod()