Cartesian and Polar Coordinate Systems

Click on the plane to draw a point. The Cartesian and polar coordinates are updated.

 
 
The 1st number of the polar coordinate is the distance from the center, the 2nd number is the angle in radians.
 

From Cartesian to polar coodinates

1. Calculate distance from origin to point using Pythagoras theorem:

 

 

 

2. Calculate the angle:

 

 

 

From polar to Cartesian coodinates

1. Calculate x:

 

 

2. Calculate y: