(This is for Cengage Mindtap, highly recommend using this. If not available, use devc++ version 5.11 but Cengage will be more precise sometimes.) The following formula gives the distance between two...

(This is for Cengage Mindtap, highly recommend using this. If not available, use devc++ version 5.11 but Cengage will be more precise sometimes.)

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!