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Program to Convert Radian to Degree
  • Last Updated : 28 May, 2018

Before moving to the actual solution, let’s try to find out what is a degree, a radian, and their relations.

Radian : The radian is the standard unit of angular measure, used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends. One radian is just under 57.3 degrees.

Degree : A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle, defined so that a full rotation is 360 degrees.

The relation 2pi*rad = 360° can be derived using the formula for arc length.
An arc of a circle with the same length as the radius of that circle subtends an angle of 1 radian. The circumference subtends an angle of 2pi radians.
Therefore the formula is:

degree = radian * (180/pi)
where, pi = 22/7

Examples:



Input : radian = 20
Output : degree = 1145.4545454545455
Explanation: degree = 20 * (180/pi)

Input : radian = 5
Output : degree = 286.3636363636364
Explanation : degree = 20 * (180/pi)

Note: In this programs, we have taken the value of pi as 3.14159 to get standard result in all three languages.

C/C++

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// C code to convert radian to degree
  
#include <stdio.h>
  
// Function for convertion
double Convert(double radian){
    double pi = 3.14159;
    return(radian * (180/pi));
}
  
// Driver Code
int main(){
    double radian = 5.0;
    double degree = Convert(radian);
    printf("%.5lf", degree);
    return 0;
}

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Java

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// Java code to convert radian to degree
  
import java.io.*;
class GFG {
    // Function for convertion
    static double Convert(double radian){
        double pi = 3.14159;
        return(radian * (180/pi));
    }
    // Driver Code
    public static void main (String[] args) {
        double radian = 5.0;
        double degree = Convert(radian);
        System.out.println("degree = "+ degree);
    }
}

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Python3

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# Python code to convert radian to degree
  
# Function for convertion
def Convert(radian):
    pi = 3.14159
    # Simply used the formula
    degree = radian * (180/pi)
    return degree
  
# Driver Code
radian = 5
print("degree =",(Convert(radian)))

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Output:

286.47914

C#

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// C# code to convert radian to degree.
using System;
  
class GFG {
  
    // Function for convertion
    static double Convert(double radian){
        double pi = 3.14159;
        return(radian * (180 / pi));
    }
  
    // Driver Code
    public static void Main () {
        double radian = 5.0;
        double degree = Convert(radian);
        Console.Write("degree = " + degree);
    }
}
  
// This code is contributed by Nitin Mittal.

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PHP

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<?php
// PHP code to convert radian to degree
  
// Function for convertion
function Convert($radian)
{
    $pi = 3.14159;
    return($radian * (180 / $pi));
}
  
// Driver Code
$radian = 5.0;
$degree = Convert($radian);
echo( $degree);
  
// This code is contributed by nitin mittal
?>

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Output :

286.47914

Reference:
https://en.wikipedia.org/wiki/Radian
https://en.wikipedia.org/wiki/Degree_(angle)

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