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

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 a 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 methods:

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

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

c. circumference: This method 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 method 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 πr².)

e. Assume that π = 3.1416.