Z-Axis Rotation Calculator

Rotate a 2D point around the Z axis (the origin) by any angle in degrees.

Runs in your browser. Nothing is uploaded — your input is processed on this device and discarded when you close the tab.

Z-Axis Rotation Calculator

How to use this tool

  1. Enter the point (x, y) and the rotation angle in degrees.
  2. Press Calculate — positive angles rotate counter-clockwise.
  3. Read the new point in the result box.

Worked example

Rotating (1, 0) by 90 degrees gives (0, 1), exactly as expected: the point on the x-axis moves onto the y-axis.

What this tool does not do / Limits

This rotates about the origin only, in the plane. It does not rotate about another centre (subtract the centre first), and it does not handle 3D rotations about the X or Y axes.

Frequently asked questions

What does a negative angle do?

It rotates clockwise by that amount: −90 degrees sends (1, 0) to (0, −1).

Does rotation change the distance from the origin?

No — rotation preserves distance, so (1, 0) stays one unit from the origin after any angle.

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