How to use the rotate a point in 2d calculator
Find the new coordinates of a point after rotating it about the origin by an angle. Enter point x, point y, rotation angle (counterclockwise) in the fields above; the rotated x, rotated y are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “rotate point coordinates”, “2D rotation matrix”, “rotated x and y”, “calculate rotate a point in 2d”, “find rotated x”.
Formula
Variables
- px — Point x
- py — Point y
- ang — Rotation angle (counterclockwise) (°)
Worked example
With point x = 3, point y = 4, rotation angle (counterclockwise) = 90 °, the calculator gives rotated x ≈ -4; rotated y ≈ 3.
Frequently asked questions
What is the rotate a point in 2d calculator used for?
Find the new coordinates of a point after rotating it about the origin by an angle. It helps with questions such as “rotate point coordinates”, “2D rotation matrix”, “rotated x and y”.
What is the formula for the rotate a point in 2d calculation?
Rotated x = px × cos(ang)-py × sin(ang). Rotated y = px × sin(ang)+py × cos(ang). Here px is point x, py is point y, ang is rotation angle (counterclockwise) (°).
What inputs do I need for the rotate a point in 2d calculator?
You need point x, point y, rotation angle (counterclockwise) in °. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the rotate a point in 2d calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the rotate a point in 2d result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.