Using the formula below which calculates the distance between two points, (x1, y1) and (x2, y2) in the Cartesian plane:  Sqrt ( (x2-x1)2  + (y2-y1)2 ) where sqrt represents square root This formula can be used to find the radius of the circle given a centre and a point on the cicle. Write an interactive C  program that prompts the user to enter a point on the circle and the centre. The program should then output the circumference, area, diameter and circle’s radius. Your program must have at least the following functions:      i)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.      ii)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.)     iii)radius: This function takes as its parameters 4 numbers that represent a point on the circle and the centre , calls the function distance to find the radius of the circle, and returns the circle’s radius.     iv)distance: This function takes as its parameters 4 numbers that represent 2 points in the plane and returns the distance between them.

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter4: Selection Structures
Section4.3: Nested If Statements
Problem 7E
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Using the formula below which calculates the distance between two points, (x1, y1) and (x2, y2) in the Cartesian plane: 

Sqrt ( (x2-x1)2  + (y2-y1)2 )

where sqrt represents square root

This formula can be used to find the radius of the circle given a centre and a point on the cicle. Write an interactive C  program that prompts the user to enter a point on the circle and the centre. The program should then output the circumference, area, diameter and circle’s radius. Your program must have at least the following functions:

     i)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.

     ii)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.)

    iii)radius: This function takes as its parameters 4 numbers that represent a point on the circle and the centre , calls the function distance to find the radius of the circle, and returns the circle’s radius.

    iv)distance: This function takes as its parameters 4 numbers that represent 2 points in the plane and returns the distance between them.

Note. This is a full one question asked. Thanks very much expert.

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