Want to be a better CNC'er?
Get our weekly newsletter plus a package of greatest hits, special tips, and more, all for free.I'm Ready to Be a Better CNC'er, Hook Me Up!
Polar to Rectangular Calculator
Download our G-Wizard Calculator for a free Polar to Rectangular Coordinate Conversion Calculator. You can use this calculator (and many of the others) in G-Wizard for life just by signing up for our 30-day trial. That's right--most of the calculators can still be used after the trial expires.
To sign up, simply visit the G-Wizard page or click this button:
Here's what G-Wizard's Polar to Rectangular Calculator looks like:
Free G-Wizard Polar to Rectangular Calculator...
As you can see, the Polar to Rectangular Calculator is just one of a number of useful calculators included with the software and free for you to use.
Math behind Converting Polar to Rectangular Coordinates
Converting from Polar to Rectangular (also called Cartesian) coordinates is easy to do. Refer to this diagram:
Variables used in polar to rectangular coordinate conversions...
The variables used in polar to rectangular coordinate conversion are:
x: The X-Axis coordinate
y: The Y-Axis coordinate
r: The radius or distance on the polar vector
Theta (Greek character): The angle from the X-Axis in a counter-clockwise direction
Equation to Convert Polar to Rectangular Coordinates
Given r and Theta, we can find x and y to convert from Polar to Rectangular coordinates as follows:
x = r Cos( Theta )
y = r Sin( Theta )
Equation to Convert Rectangular to Polar Coordinates
If we know x and y, we can find r and Theta to convert from Rectangular to Polar coodinates as follows:
r = SQRT( x * x + y * y )
Theta = arctan( y / x )
Video on How to Convert With a Calculator
Do you want to be a better CNC'er?
Get Better Tool Life, Surface Finish, and Material Removal Rates.