Circle inversion

Circle inversion is a geometric transformation that changes points in a plane based on their distance from a fixed circle. Imagine drawing a circle on paper; for any point outside the circle, you can find a new point inside the circle that represents the inverted version of the original. This process uses the circle's radius and creates a unique relationship between points. Points inside the circle stay inside, while points outside are moved inward. This concept helps in various fields like mathematics, physics, and engineering to simplify complex shapes and solve problems involving angles and distances.