The following formula gives the distance between two points, in the Cartesian plane:...

The following formula gives the distance between two points, 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 circle’s radius, diameter, circumference, and area. Your program must have at least the following functions:

a. distance: This function takes as its parameters four numbers that represent two points in the plane and returns the distance between them.

b. radius: This function takes as its parameters four numbers that represent the center and a point on the circle, calls the function distance to find the radius of the circle, and returns the circle’s radius.

c. circumference: This function takes as its parameter a number that represents the radius of the circle and returns the circle’s circumference. (If r is the radius, the circumference is 2πr.)

d. area: This function takes as its parameter a number that represents the radius of the circle and returns the circle’s area. (If r is the radius, the area is .)

Assume that π = 3.1416.