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 is 2πr.) 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 πr².) Assume that π = 3.1416. Format your output with setprecision(2) to ensure the proper number of decimals

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 is 2πr.)
  • 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 πr².) Assume that π = 3.1416.

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

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