Lab #7 Due: 11/3, Credit: 30 pts 1. VSC (Very simple calculator) – write a progr

Question

Lab #7 Due: 11/3, Credit: 30 pts

1. VSC (Very simple calculator) – write a program using switch statement and user-defined functions to perform the following calculations: Prompt the user to input two integer numbers, then according to the user’s choice for the operator (+, -, x, /, %) to perform the corresponding operation, then output the result.

Write a function for each operation, the five functions are declared as:

int add( int x, int y);

int subtract( int x, int y);

int multiply( int x, int y);

int divide( int x, int y);

int modulus( int x, int y);

For example: Run-1:

If user input two integer 123 7

If user choose ‘+’ as operator

then by calling function add( ) the program will output Result: 123 + 7 = 130

Run-2:
If user input two integer 123 7 If user choose ‘%’ as operator

then by calling function modulus( ) the program will output Result: 123 % 7 = 4

2. The following formula gives the distance between two points (x1, y1) and (x2, y2) in the Cartesian plane:

(x x)2 +(y y)2 21 21

Now, if one point resides on the center of a circle, and the other is on the circle, then the above formula can be used to compute the radius of the circle.

Here is the main program:

#include <iostream> #include <cmath> using namespace std;

// Write the function prototype here.

int main( ) {

double x1,y1 ; double x2, y2 ; double radius ;

// coordinates of center of the circle // coordinates of 1 point on the circle // radius of the circle

cout << "Enter 4 numbers corresponding to the coordinates of the two points"; cin >> x1 >> y1 >> x2 >> y2;

radius = calculateRadius( x1, y1, x2, y2 ) ; // Call function to compute the radius

cout << "The radius is: " << radius << endl ; // Print the value of the radius

return 0; }

// Write the function definition here.

1. Type in the above code. Create the function prototype and function body code for calculateRadius and put them in the appropriate places. The function accepts 4 double numbers and return one double number. The function should use the predefined functions: sqrt( ) and pow( ).

2. Write another function called findCircumference, that takes the radius of the circle and returns the circle’s circumference. The formula for a circumference is: 2 r , here = 3.14 , r is the radius.

3. Write another function called findArea that takes the radius of the circle and returns the area of the circle. The formula for the area of the circle is: r2

Explanation / Answer

1.simple calculator

//set of function declarations

int add( int x, int y);

int subtract( int x, int y);

int multiply( int x, int y);

int divide( int x, int y);

int modulus( int x, int y);

//for other cases other than the ones mentioned in problem

//definition to add

int add( int x, int y)

{

c=x+y;

return (c);

}

//definition to calculate difference

int subtract( int x, int y)

{

c=x-y;

return (c);

}

//definition to get product

int multiply( int x, int y)

{

c=x*y;

return (c);

}

//definition to perform division

//float is preffered as datatype here.I used int data type here just as mentioned in problem

int divide(int x, int y)

{

c=x/y;

return (c);

}

//definition to get remainder

int modulo( int x, int y)

{

c=x%y;

return (c);

}

2.C++ program to find

i)radius(using distance formula)

ii)find circumference

iii)find area

using namespace std;

#include <iostream>

#include <cmath>

#define pi 3.14; //from here on the value of variable pi will be 3.14

double calculateRadius( double x1,double y1, double x2, double y2 ) ;

double findCircumference(double radius);

double findArea(double radius);

int main( ) {

double x1,y1 , x2, y2 , radius,circumference,area ;

// coordinates of center of the circle // coordinates of 1 point on the circle // radius of the circle

cout << "Enter 4 numbers corresponding to the coordinates of the two points";

cin >> x1 >> y1 >> x2 >> y2;

//1. call to find radius

radius = calculateRadius( x1, y1, x2, y2 ) ; // Call function to compute the radius

cout << "The radius is: " << radius << endl ; // Print the value of the radius

//2. call to find circumference

circumference=findCircumference(radius);//call function to compute circumference

cout << "The circumference is: " << circumference << endl ; // Print the value of the circumference

//3. call to find area

area=findArea(radius);//call function to compute area

cout << "The area is: " << area << endl ; // Print the value of the area

return 0;

}

// 1.definition to find the radius using distance formula

double calculateRadius( double x1,double  y1, double x2, double y2 )

{

return(sqrt(pow((x2-x1),2)-pow((y2-y1),2))); //calculating radius using distance formula

}

//2.function definition to find circumference

double findCircumference(double radius)

{

return(2*pi*r);

}

//3.function definition to find area

double findArea(double radius)

{

return(r*pi*r);

}

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