Python Polar Coordinates HackerRank Solution
Polar coordinates are an alternative way of representing Cartesian coordinates or Complex Numbers.
A complex number z: z = x+yj
is completely determined by its real part x and imaginary part y.
Here, j is the imaginary unit.
A polar coordinate (r,p) is completely determined by modulus r and phase angle p.
If we convert complex number z to its polar coordinate, we find:
r: Distance from z to origin, i.e., √x2+y2
p: 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.python
This tool returns the phase of the complex number z (also known as the argument of z).
>>> phase(complex(-1.0, 0.0))
3.1415926535897931
abs
This tool returns the modulus (absolute value) of the 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 p.
Sample Input
1+2j
Sample Output
2.23606797749979
1.1071487177940904
Note: The output should be correct up to 3 decimal places.
Solution:
import cmath
n = input()
s = complex(n)
print(abs(s))
print(cmath.phase(s))
Steps Used in solving the problem -
Step 1: First we imported cmath.
Step 2: then we have taken the input of n.
Step 3: and we have defined n as a complex number.
Step 4: At last we used the abs function to print the absolute value of s and cmath.phase to print the phase value of s.
