The following formula gives the distance between two points, (x₁,y₁) and (x₂,y₂) in the Cartesian plane: \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}(x2​−x1​)2+(y2​−y1​)2​ Given the center and a point on the...

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

\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}(x2​−x1​)2+(y2​−y1​)2​

Given the center and a point on the circle, you can use this formula to find the radius of the circle.

Instructions

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:

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


• 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.


• 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 is2πr.)


• 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 isπr².) Assume thatπ = 3.1416.

Format your output with setprecision(2) to ensure the proper number of decimals for testing!