Write a program that displays the following menu:  1. Calculate the area of a circle 2. Calculate the area of a rectangle 3. Calculate the area of a triangle 4. Quit Enter your choice (1-4):  If the user enters 1, the program should ask for the radius of the circle and then display its area. Use the following formula: area = PI * r * r. Use 3.14159 for Pi and the radius of the circle for r.  If the user enters 2, the program should ask for the length and width of the rectangle and then display the rectangle’s area. Use the following formula: area = length * width  If the user enters 3, the program should ask for the length of the triangle’s base and its height, and then display its area. Use the following formula: area = base * height * 0.5  If the user enters 4, the program should end. Input validation: Display an error message if the user enters a number outside the range of 1-4 when selecting an item from the menu. Do not accept negative values for the circle’s radius, the rectangle’s length or width, or the triangle’s base or height

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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Write a program that displays the following menu: 
1. Calculate the area of a circle
2. Calculate the area of a rectangle
3. Calculate the area of a triangle
4. Quit
Enter your choice (1-4):
 If the user enters 1, the program should ask for the radius of the circle and then
display its area. Use the following formula:
area = PI * r * r. Use 3.14159 for Pi and the radius of the circle for r.
 If the user enters 2, the program should ask for the length and width of the rectangle
and then display the rectangle’s area. Use the following formula:
area = length * width
 If the user enters 3, the program should ask for the length of the triangle’s base and its
height, and then display its area. Use the following formula:
area = base * height * 0.5
 If the user enters 4, the program should end.
Input validation: Display an error message if the user enters a number outside the range
of 1-4 when selecting an item from the menu. Do not accept negative values for the circle’s
radius, the rectangle’s length or width, or the triangle’s base or height.

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