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The following formula gives the distance between two points, (x1, y1) and (x2, y2) in the Cartesian plane: V(a2 - 1) + (v2 – y1)² Given the center and a point on the circle, you can use this formula to find the radius of the circle. 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. The formula for calculating the area of a circle is: A = Tr? The formula for calculating the perimeter of a circle is: C = 2r Your program must have at least the following functions: • calculateRadius: Receives the x-y coordinates of the center and point on the circle (as input by the user) and calculates the distance between the points. This value is returned as the radius of the circle. • parameters: x1, y1, x2, y2 • return: value representing the radius • calculateArea: Receives the radius of a circle, calculates and returns the area of the circle. • parameters: radius • return: value representing the area • calculatePerimeter: Receives the radius of a circle, calculates and returns the perimeter of the circle. • parameters: radius • return: value representing the perimeter. The output should clearly display the radius, area, and perimeter of the resulting circle. INPUT VALIDATION: Make sure values for x and y in both the center and point on the circle contain numbers.

The following formula gives the distance between two points, (x1, y1) and (x2, y2) in the Cartesian plane: V(a2 - 1) + (v2 – y1)² Given the center and a point on the circle, you can use this formula to find the radius of the circle. 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. The formula for calculating the area of a circle is: A = Tr? The formula for calculating the perimeter of a circle is: C = 2r Your program must have at least the following functions: • calculateRadius: Receives the x-y coordinates of the center and point on the circle (as input by the user) and calculates the distance between the points. This value is returned as the radius of the circle. • parameters: x1, y1, x2, y2 • return: value representing the radius • calculateArea: Receives the radius of a circle, calculates and returns the area of the circle. • parameters: radius • return: value representing the area • calculatePerimeter: Receives the radius of a circle, calculates and returns the perimeter of the circle. • parameters: radius • return: value representing the perimeter. The output should clearly display the radius, area, and perimeter of the resulting circle. INPUT VALIDATION: Make sure values for x and y in both the center and point on the circle contain numbers.

C++ Programming: From Problem Analysis to Program Design
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter5: Control Structures Ii (repetition)
Section: Chapter Questions
Problem 27PE
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Sample Output Please enter the center point in the form x y: 3 4 Please enter the point on the circle in the form x y: 9 1 Here is the information for the circle formed from (3,4) and (9,1) Radius: 6.7082 Area: 141.3 Perimeter: 42.1275 Please enter the center point in the form x y: (3,4) You entered something that is not a number. Please try again Please enter the center point in the form x y: 3 4 Please enter the point on the circle in the form x y: -9 -1 Here is the information for the circle formed from (3,4) and (-9,-1) Radius: 13 Area: 530.66 Perimeter: 81.64
Transcribed Image Text:Sample Output Please enter the center point in the form x y: 3 4 Please enter the point on the circle in the form x y: 9 1 Here is the information for the circle formed from (3,4) and (9,1) Radius: 6.7082 Area: 141.3 Perimeter: 42.1275 Please enter the center point in the form x y: (3,4) You entered something that is not a number. Please try again Please enter the center point in the form x y: 3 4 Please enter the point on the circle in the form x y: -9 -1 Here is the information for the circle formed from (3,4) and (-9,-1) Radius: 13 Area: 530.66 Perimeter: 81.64
The following formula gives the distance between two points, (x1, y1) and (x2, y2) in the Cartesian plane: V(22 - 1) + (42 – yn)² Given the center and a point on the circle, you can use this formula to find the radius of the circle. 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. The formula for calculating the area of a circle is: A = Tr2 The formula for calculating the perimeter of a circle is: C = 2Tr Your program must have at least the following functions: • calculateRadius: Receives the x-y coordinates of the center and point on the circle (as input by the user) and calculates the distance between the points. This value is returned as the radius of the circle. • parameters: x1, y1, x2, y2 • return: value representing the radius • calculateArea: Receives the radius of a circle, calculates and returns the area of the circle. • parameters: radius • return: value representing the area calculatePerimeter: Receives the radius of a circle, calculates and returns the perimeter of the circle. • parameters: radius • return: value representing the perimeter. The output should clearly display the radius, area, and perimeter of the resulting circle. INPUT VALIDATION: Make sure values for x and y in both the center and point on the circle contain numbers.
Transcribed Image Text:The following formula gives the distance between two points, (x1, y1) and (x2, y2) in the Cartesian plane: V(22 - 1) + (42 – yn)² Given the center and a point on the circle, you can use this formula to find the radius of the circle. 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. The formula for calculating the area of a circle is: A = Tr2 The formula for calculating the perimeter of a circle is: C = 2Tr Your program must have at least the following functions: • calculateRadius: Receives the x-y coordinates of the center and point on the circle (as input by the user) and calculates the distance between the points. This value is returned as the radius of the circle. • parameters: x1, y1, x2, y2 • return: value representing the radius • calculateArea: Receives the radius of a circle, calculates and returns the area of the circle. • parameters: radius • return: value representing the area calculatePerimeter: Receives the radius of a circle, calculates and returns the perimeter of the circle. • parameters: radius • return: value representing the perimeter. The output should clearly display the radius, area, and perimeter of the resulting circle. INPUT VALIDATION: Make sure values for x and y in both the center and point on the circle contain numbers.
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