The following formula gives the distance between two points, (x1, y1) and (x2, y2) in the Cartesian plane:

Given the center and a point on the circle, you can use this formula to find the radius of the circle. Write a program that prompts the user to enter the center and a point on the circle. The program should then output the circles radius, diameter, circumference, and area. Your program must have at least the following functions:

calculateRadius: Receives the x-y coordinates of the center and point on the circle (as input by the user) and calculates the distance between the points. This value is returned as the radius of the circle.

calculateArea: Receives the radius of a circle, calculates and returns the area of the circle.

calculatePerimeter: Receives the radius of a circle, calculates and returns the perimeter of the circle.

The output should clearly display the radius, area, and perimeter of the resulting circle.

Include comments and documentation please.

(x2 - ri)2 + (2 -n)2