Polar Coordinates in Python HackerRank Solution

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Polar Coordinates in Python - HackerRank Solution
Polar Coordinates in Python HackerRank Solution

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Polar Coordinates in Python HackerRank Solution

problem

Polar coordinates are an alternative way of representing Cartesian coordinates or Complex Numbers.
A complex number z
is completely determined by its real part x and imaginary part y.
Here, j is the imaginary unit.

A polar coordinate (r, q)is completely determined by modulus r and phase angle q.
if we convert complex number z to its polar coordinate, we find:r : Distance from z to origin, i.e., √(x^2+y^2)
q : Counter clockwise angle measured from the positive x-axis to the line segment that joins z to the origin.

Python’s cmath module provides access to the mathematical functions for complex numbers.
cmath.phaseThis tool returns the phase of complex number z(also known as the argument of z).

>>> phase(complex(-1.0, 0.0))
3.1415926535897931

absThis tool returns the modulus (absolute value) of complex number z.

>>> abs(complex(-1.0, 0.0))
1.0

Task :

You are given a complex z. Your task is to convert it to polar coordinates.


Input Format :

A single line containing the complex number z. Note: complex() function can be used in python to convert the input as a complex number.

Constraints :

Given number is a valid complex number

Output Format :

Output two lines:
The first line should contain the value of r.
The second line should contain the value of q.


Sample Input :

 1+2j

Sample Output :

 2.23606797749979
 1.1071487177940904

Polar Coordinates in Python HackerRank Solution

# Python 3
# Polar Coordinates in Python - Hacker Rank Solution
# Enter your code here. Read input from STDIN. Print output to STDOUT
# Polar Coordinates in Python - Hacker Rank Solution START
import cmath;
num = complex(input())
z = complex(num)
print(cmath.polar(z)[0])
print(cmath.polar(z)[1])
# Polar Coordinates in Python - Hacker Rank Solution END

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