Circle Area Intersection

Given the centers and radii of two circles, calculate the area of the intersection of these two circles. The input will consist of two lines: each line will contain three space-separated floats representing the x-coordinate, y-coordinate of the center, and the radius of the circle, respectively. Print the area of the intersection formatted to 4 decimal places. Example input: 0 0 3 1 1 3 Example output: 9.0614