About Rotation Formula
The rotation formula informs us how a point rotates in relation to the origin. To get the position of the point after rotation, apply the rotation formula. A circular motion around a certain axis of rotation or point of rotation is known as rotation. Rotation can be performed in two primary directions: clockwise and anti-clockwise or counter-clockwise. Check out the list of Maths formulas prepared by the experts of Home tution.com
What Is Rotation Formula?
After a specific rotation to a finite degree of rotation, the rotation formula will give us the exact location of a point. The type of rotation done to the point with regard to the origin determines the rotation formula. A geometric two-dimensional shape can be transformed in one of four different ways.
The following table shows the rotation formula based on the type of rotation performed
| Rotation | Coordinates of the point | Coordinates of the Image of the point after Rotation |
| Rotation of 90°(CW) | (x, y) | (y, -x) |
| Rotation of 90°(CCW) | (x, y) | (-y, x) |
| Rotation of 180° | (x, y) | (-x, -y) |
| Rotation of 270°(CW) | (x, y) | (-y, x) |
| Rotation of 270°(CCW) | (x, y) | (y, -x) |
| Rotation of 90°(CW) | (x, y)(y,-x) |
| Rotation of 90°(CCW) | (x, y)(y,-x) |
| Rotation of 180° | (x, y)(-x,-y) |
| Rotation of 270°(CW) | (x, y)(-y,x) |
| Rotation of 270°(CCW) | (x, y)(y,-x) |