Exercise 1

Draw a dynamic circle with its circumscribed circle that changes with a slider. Create a slider to control the radius of a circle; as the slider moves, the circle expands or contracts. Take three points on the circle, draw circles centered at these points that intersect each other, and construct the circumscribed circle that passes through the original circle's boundary. Show how the circumscribed circle dynamically adjusts while maintaining its geometric relationship with the original circle as the size changes, demonstrating the properties of circles and their circumscribed constructions.