Python Math: Convert Polar coordinates to rectangular coordinates

Last update on April 24 2025 12:44:31 (UTC/GMT +8 hours)

35. Polar to Rectangular Conversion

Write a Python program to convert Polar coordinates to rectangular coordinates.

Sample Solution:

Python Code:

import cmath
cn = complex(3,4)
# get polar coordinates
print("Polar Coordinates: ",cmath.polar(cn))

# polar to rectangular. Format for input is (length, ‹angle in radians›).
#Returns a complex number
cn1 = cmath.rect(2, cmath.pi)
print("Polar to rectangular: ",cn1)

Sample Output:

Polar Coordinates:  (5.0, 0.9272952180016122)                                                                 
Polar to rectangular:  (-2+2.4492935982947064e-16j) 

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Python program that converts polar coordinates (radius and angle) to rectangular (complex) form and prints the result.
• Write a Python function that takes polar coordinates as input, converts them to a complex number, and returns the result.
• Write a Python script to prompt the user for polar coordinates and then display the equivalent rectangular coordinates with proper formatting.
• Write a Python program to convert a list of polar coordinates to rectangular coordinates and print the list of resulting complex numbers.

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Python Code Editor:

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