Implement circle geometry toolkit with visualization

CircleGeometryToolkitIntersectionAnalysisVisualization.py

@@ -0,0 +1,51 @@
+import math
+import matplotlib.pyplot as plt
+
+class Circle:
+    def __init__(self, x, y, r):
+        self.x = x
+        self.y = y
+        self.r = r
+
+    def area(self):
+        return math.pi * self.r ** 2
+
+    def circumference(self):
+        return 2 * math.pi * self.r
+
+    def intersects_with(self, other):
+        """
+        Returns True if this circle intersects with the other circle.
+        """
+        center_dist = math.hypot(self.x - other.x, self.y - other.y)
+        return abs(self.r - other.r) <= center_dist <= (self.r + other.r)
+
+    def __str__(self):
+        return f"Circle(center=({self.x}, {self.y}), radius={self.r})"
+
+def plot_circles(circle1, circle2):
+    fig, ax = plt.subplots()
+    c1 = plt.Circle((circle1.x, circle1.y), circle1.r, color='blue', fill=False, label="Circle 1")
+    c2 = plt.Circle((circle2.x, circle2.y), circle2.r, color='red', fill=False, label="Circle 2")
+    ax.add_artist(c1)
+    ax.add_artist(c2)
+    ax.set_aspect('equal', 'box')
+    ax.set_xlim(min(circle1.x, circle2.x) - max(circle1.r, circle2.r) - 2, max(circle1.x, circle2.x) + max(circle1.r, circle2.r) + 2)
+    ax.set_ylim(min(circle1.y, circle2.y) - max(circle1.r, circle2.r) - 2, max(circle1.y, circle2.y) + max(circle1.r, circle2.r) + 2)
+    plt.legend([c1, c2], ["Circle 1", "Circle 2"])
+    plt.grid(True)
+    plt.show()
+
+if __name__ == "__main__":
+    c1 = Circle(0, 0, 5)
+    c2 = Circle(7, 3, 4)
+
+    print(f"{c1} => Area: {c1.area():.2f}, Circumference: {c1.circumference():.2f}")
+    print(f"{c2} => Area: {c2.area():.2f}, Circumference: {c2.circumference():.2f}")
+
+    if c1.intersects_with(c2):
+        print("The circles intersect!")
+    else:
+        print("The circles do not intersect.")
+
+    plot_circles(c1, c2)