Rotation Calculator

How to Calculate Rotations

The rotation of a point can be calculated using the following formulas:

• x' = x * cos(θ) - y * sin(θ)
• y' = x * sin(θ) + y * cos(θ)

• θ = rotation angle (in radians)
• (x, y) = original coordinates
• (x', y') = new coordinates

Understanding Your Results

The resulting coordinates (x', y') represent the new location of the point after the specified rotation has been applied. Ensure you input the rotation angle in the correct unit (degrees, radians, etc.) for accurate results.

How to Use the Rotation Calculator

Using our tool is simple and straightforward. Just follow these steps:

1. Enter the rotation angle and select the appropriate unit (degrees, radians, etc.).


2. Enter the initial coordinates (x and y values).


3. Click the calculate button to find the new coordinates.

Example Calculation

Let’s say you want to rotate the point (3, 4) by 90 degrees clockwise. Using the calculator, input 90 degrees as the rotation and (3, 4) as the coordinates. The tool will compute and display the new coordinates as (-4, 3).