Rotate Figure 90 Degrees Clockwise Calculator
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Reviewed by Calculator Editorial Team
This calculator helps you rotate any figure 90 degrees clockwise. Whether you're working with coordinates, shapes, or digital images, understanding how to perform 90-degree rotations is essential in geometry, computer graphics, and engineering.
How to Use This Calculator
To rotate a figure 90 degrees clockwise:
- Enter the original coordinates of your figure's points in the input fields.
- Click the "Calculate" button to perform the rotation.
- View the new coordinates in the result section.
- Use the visualization to see the rotation effect.
The calculator uses standard rotation matrix transformations to compute the new positions of your points after the rotation.
Rotation Formula
To rotate a point (x, y) 90 degrees clockwise around the origin (0, 0), use the following transformation:
Rotation Formula
New X = y
New Y = -x
This formula effectively swaps the x and y coordinates and negates the new y coordinate.
Worked Examples
Example 1: Rotating a Point
Original point: (3, 5)
After 90° clockwise rotation:
New X = 5
New Y = -3
Result: (5, -3)
Example 2: Rotating a Rectangle
Original rectangle vertices: (1,1), (4,1), (4,3), (1,3)
After rotation:
- (1,1) → (1,-1)
- (4,1) → (1,-4)
- (4,3) → (3,-4)
- (1,3) → (3,-1)
Frequently Asked Questions
How do I rotate a figure 90 degrees counterclockwise?
To rotate counterclockwise, use the formula: New X = -y, New Y = x. This is the inverse of the clockwise rotation formula.
Can I rotate a figure around a point other than the origin?
Yes, you can rotate around any point by first translating the figure so that the rotation point becomes the origin, performing the rotation, then translating back.
What's the difference between 2D and 3D rotation?
2D rotation only affects the x and y coordinates, while 3D rotation also affects the z coordinate, requiring a 3x3 rotation matrix.
How does rotation work in computer graphics?
In computer graphics, rotation is typically performed using rotation matrices or quaternions, which are applied to vertex coordinates during rendering.