Rotation Calculator: (Unlock Angular Mastery)

Enter X-coordinate:

Enter Y-coordinate:

Enter Rotation Angle (in degrees):

Calculate Reset

Result:

The Rotation Calculator is a handy tool that allows you to calculate the new coordinates (X, Y) after applying a rotation angle to a point in a 2D plane. This tool is particularly useful in various fields such as mathematics, engineering, and computer graphics.

How It Works

To use the Rotation Calculator, follow these steps:

1. Enter the initial X and Y coordinates of the point you want to rotate.
2. Input the rotation angle in degrees.
3. Click the “Calculate” button to compute the new coordinates after the rotation.

The calculator will then display the transformed X and Y coordinates based on the entered values.

Understanding the Formula

The rotation formula used in this calculator is based on trigonometry. Here’s how it works:

Convert the rotation angle from degrees to radians using the formula:

radians = (angle * Math.PI) / 180.

Apply the rotation formula to calculate the new X and Y coordinates:

New X-coordinate (newX) = (X * cos(radians)) – (Y * sin(radians))

New Y-coordinate (newY) = (X * sin(radians)) + (Y * cos(radians))

Practical Uses

The Rotation Calculator has various practical applications:

• In mathematics, it is used to perform transformations on geometric shapes.
• In engineering, it helps in determining the new positions of objects after they are rotated.
• In computer graphics, it is used to manipulate the positions of pixels, creating stunning visual effects.

Conclusion

The Rotation Calculator simplifies the process of calculating new coordinates after a rotation, making it a valuable tool in various fields. Whether you’re a student, engineer, or graphic designer, this calculator can assist you in your work with ease.