Convert between Cartesian and polar coordinates in the plane.
Last updated: June 2026 | By Patchworkr Team
Enter x and y as real numbers.
Polar coordinates describe a point by radius r and angle theta.
The calculator normalizes the angle when converting from Cartesian coordinates.
1. Choose the conversion direction.
2. Pick the angle unit if you are converting from polar coordinates.
3. Enter the values and read the live result.
For Cartesian point (3, 4):
r = sqrt(3^2 + 4^2) = 5
theta = atan2(4, 3) = 53.130102 deg
No. Radius is a distance and must be non-negative.
Yes. Angles are periodic, so the calculator normalizes them.
Then r = 0 and the angle is effectively arbitrary.
Yes. Polar is the 2D version; cylindrical adds z.
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