Point Rotation Calculator

Find the new coordinates of a point after rotating it by an angle around the origin.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

Rotating a point about the origin moves it along a circular arc by a chosen angle, using the standard rotation formulas built from sine and cosine of that angle. The distance from the origin never changes during a rotation, only the direction does, which is what makes rotation one of the "rigid" transformations that preserve a shape's size.

This calculation is fundamental to computer graphics and animation, where rotating sprites, 3D models and UI elements around a pivot point happens constantly. Robotics and CNC programming also rely on point rotation to plan tool paths and joint movements, and it shows up in physics whenever something orbits or spins around a fixed center.

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