Python Program to Convert Polar to Cartesian Coordinate
In mathematics, a Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a set of numeric points.
Cartesian Coordinates is represented by (x,y).
In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point known as radius and an angle from a reference direction known as theta or simply angle.
Polar Coordinates system is represented by (r,θ).
Formula to Convert Polar to Cartesian Coordinate
x = r × cos( θ )
y = r × sin( θ )
This python programs converts Polar Coordinate given by user to Cartesian Coordinate using Polar to Cartesian Conversion Formula.
Also check: Cartesian to Polar Conversion in Python
Python Source Code: Polar to Cartesian Coordinate
# Converting Polar Coordinate to Cartesian Coordinates # Importing math library import math # Reading radius and angle of polar coordinate radius = float(input('Enter radius: ')) theta = float(input('Enter theta in degree: ')) # Converting theta from degree to radian theta = theta * math.pi/180.0; # Converting polar to cartesian coordinates x = radius * math.cos(theta) y = radius * math.sin(theta) # Displaying cartesian coordinates print('Cartesian coordinate is: (x = %0.2f, y = %0.2f)' %(x,y))
Output of Above Program
Enter radius: 1.4142 Enter theta in degree: 45 Cartesian coordinate is: (x = 1.00, y = 1.00)