A Step-by-Step Guide to Rotating Objects 90 Degrees Clockwise Around a Center of Rotation

Rotation 90 degrees clockwise

To rotate an object 90 degrees clockwise, you can follow these steps:

1

To rotate an object 90 degrees clockwise, you can follow these steps:

1. Start with a given shape or object.
2. Identify the center of rotation. This can be a point or a coordinate in the plane.
3. Draw a line connecting the center of rotation to any point on the object. This line will serve as the radius of the rotation.
4. Measure the angle between the initial position and the final position of the line. In this case, the angle is 90 degrees.
5. Rotate each point on the object around the center of rotation by the measured angle. To do this, you can use the following formulas:

New_x = (cosθ * (Old_x – Center_x)) – (sinθ * (Old_y – Center_y)) + Center_x
New_y = (sinθ * (Old_x – Center_x)) + (cosθ * (Old_y – Center_y)) + Center_y

In these formulas, θ represents the angle of rotation (90 degrees), (Old_x, Old_y) represents the coordinates of each point on the object before rotation, (Center_x, Center_y) represents the coordinates of the center of rotation, and (New_x, New_y) represents the coordinates of each point after rotation.

6. Repeat step 5 for every point on the object, and plot the new coordinates to obtain the rotated shape.

By following these steps, you should be able to rotate any object 90 degrees clockwise around a given center of rotation.

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