adding a max_sectors_of_circle algorithm

maths/max_sectors_of_circle.py

@@ -0,0 +1,23 @@
+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
+    """
+
+    return ((num_cuts + 2 + num_cuts**2) * (1 / 2)) if num_cuts >= 0 else -1
+
+
+if __name__ == "__main__":
+    import doctest
+
+    doctest.testmod()