Question

Write a function, polar_to_rec, that uses the structures defined in Problem 2. Test your
function with various angles and magnitudes.

Problem 2:

#include<stdio.h>

#include<math.h>

struct RectangularCordinate{
float x;

float y;

};

struct PolarCordinate{

float radius;

float theta;

};

struct PolarCordinate rect_to_polar(struct RectangularCordinate rect){

float radius = pow(rect.x*rect.x + rect.y*rect.y,0.5);

float angle = atan(rect.y/rect.x);

struct PolarCordinate pol = {radius,angle};

return pol;

}

int main(){

struct RectangularCordinate rect = {3,4};

struct PolarCordinate pol = rect_to_polar(rect);

printf("Radius: %.2f\n", pol.radius);

printf("Angle: %.2f\n", pol.theta);

}

Answer 1

C code:

#include <stdio.h>

#include<math.h>

// struct RectangularCordinate

struct RectangularCordinate{

       float x;

       float y;

};

// struct PolarCordinate

struct PolarCordinate{

       float radius;

       float theta;

};

//struct for convert RectangularCordinate to PolarCordinate

struct PolarCordinate rect_to_polar(struct RectangularCordinate rect){

        float radius = pow(rect.x*rect.x + rect.y*rect.y,0.5);

        float angle = atan(rect.y/rect.x);

        struct PolarCordinate pol = {radius,angle};

        return pol;

}

//struct for convert PolarCordinate to RectangularCordinate

struct RectangularCordinate polar_to_rect(struct PolarCordinate pol){

        // convert RectangularCordinate using formula m(cos theta + sin theta)

        // where m is magnitude.

        // where theta is angle.

        float x=pol.radius*cos(pol.theta);

        float y=pol.radius*sin(pol.theta);

        struct RectangularCordinate rect = {x,y};

        //return rectangular Cordinate

        return rect;

}

//main

int main(){

    // initializing a variable

    // and assign value x and y

    struct RectangularCordinate rect = {3,4};

    // and assign value radius and angle

    struct PolarCordinate polar = {5.00,0.93};

    //call the function rect_to_polar

    struct PolarCordinate pol = rect_to_polar(rect);

    //call the function polar_to_rect

    struct RectangularCordinate rec=polar_to_rect(polar);

   // print the value of radius

    printf("Radius: %.2f\n", pol.radius);

    // print the value of angle

    printf("Angle: %.2f\n", pol.theta);

    // print the value of x

    printf("x: %.1f\n", rec.x);

    // print the value of y

    printf("y: %.1f\n", rec.y);

   

   return 0;

}

OUTPUT:

Test case 1:input is:

x=3 and y=4

radius=5.00 and angle=0.93

   

Test case 2:input is:

x=5 and y=6

radius=7.81 and angle=0.88

Test case 3:input is:

x=2 and y=3

radius=3.61 and angle=0.98