Polar / Rectangular Form Converter

Convert between rectangular (x, y) and polar (r, angle) coordinates. Pick the direction and enter the two values.

Result
Converted coordinates.

Usage Tip

Polar form makes rotation and scaling easy; rectangular form makes adding coordinates easy.

THE MATH
r = √(x² + y²), angle = atan2(y, x)
x = r·cos(angle), y = r·sin(angle)
Rectangular coordinates locate a point by horizontal and vertical distance; polar coordinates use distance and angle.
The two forms describe the same point and convert directly into each other.
Choose the conversion direction.
Rectangular to polar: enter x then y.
Polar to rectangular: enter r then the angle in degrees.
Scroll to Top

The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.