Polar to Cartesian Coordinates Calculator
If you need to convert from a rotational reference frame to an orthogonal one, our calculator for the polar to cartesian coordinates conversion will come in handy.
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.