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
Max Function
Statistical function is of many categories. One of them is a MAX function. The MAX function returns the largest value from the list of arguments passed to it. MAX function always ignores the empty cells when performing the calculation.
Power Function
A power function is a type of single-term function. Its definition states that it is a variable containing a base value raised to a constant value acting as an exponent. This variable may also have a coefficient. For instance, the area of a circle can be given as:
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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