Polar to Rectangular Coordinates Calculator
This polar to rectangular coordinates calculator will help you quickly and easily convert between these two widespread coordinate systems.
Cartesian (x, y)(3, 4)
Polar (r, θ)(5, 53.130102°)
r5
θ in degrees53.13010235°
θ in radians0.927295218
Quadrant1
The formula
r = √(x² + y²), θ = atan2(y, x)
Why atan2 rather than atan
atan(y/x) loses the quadrant: (1, 1) and (−1, −1) give the same ratio and so the same angle, though they point in opposite directions. atan2(y, x) takes both coordinates separately and returns the correct angle across all four quadrants, from −180° to 180°. Always use atan2 for this conversion.