Tag: Cartesian to polar

Write a C program to receive Cartesian co-ordinates(x, y) of a point and convert them into Polar co-ordinates(r, θ).

Related Read:
C Program To Convert Polar To Cartesian Co-ordinates

Formula To Convert Cartesian To Polar Co-ordinates

r = sqrt(x*x + y*y);
OR
r = sqrt( pow(x, 2) + pow(y, 2) );

theta(θ) = atan(y/x);

where x and y are Cartesian co-ordinates.
atan() is the method in math.h library for calculating tan inverse.

Formula To Convert Radian To Degree

degree = radian * (180.0 / PI);
where PI is 3.141592

Source Code: Convert Cartesian To Polar Co-ordinates: C Program

 
#include < stdio.h >
#include < math.h >

int main()
{
    float x, y, r, theta;
    const float PI = 3.141592;

    printf("Enter Cartesian Co-ordinates(x, y)\n");
    scanf("%f%f", &x, &y);

    r     = sqrt(x*x + y*y);
    theta = atan(y/x);       // Radian

    theta = theta * (180.0 / PI); //Radian To Degree Conversion

    printf("Polar Co-ordinates: (r, theta) = (%f, %f)\n", r, theta);

    return 0;
}

Output:
Enter Cartesian Co-ordinates(x, y)
3
4
Polar Co-ordinates: (r, theta) = (5.000000, 53.130112)

Convert Cartesian To Polar Co-ordinates: C Program

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