Python Math: Get the length and angle of a complex number

Last update on April 02 2025 12:30:18 (UTC/GMT +8 hours)

34. Complex Number Length and Angle

Write a Python program to get the length and the angle of a complex number.

Sample Solution:

Python Code:

import cmath
cn = complex(3,4)
#length of a complex number. 
print("Length of a complex number: ", abs(cn))
# gets angle. return in radians, between  [-π, π]
print("Complex number Angle: ",cmath.phase(0+1j) )

Sample Output:

Length of a complex number:  5.0                                                                              
Complex number Angle:  1.5707963267948966 

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Python program to calculate and print the magnitude (absolute value) and angle (in radians) of a given complex number using math.atan2().
• Write a Python function that accepts a complex number and returns its polar coordinates (length and angle) as a tuple.
• Write a Python script to compute the length and phase of several complex numbers and then display the results in a formatted table.
• Write a Python program to convert a complex number to its polar form and then reconstruct the original complex number from the polar coordinates.

Python Code Editor:

Have another way to solve this solution? Contribute your code (and comments) through Disqus.

Previous: Write a Python program to add, subtract, multiply and division of two complex numbers.
Next: Write a Python program to convert Polar coordinates to rectangular coordinates.