Program to Convert Radian to Degree (original) (raw)

Last Updated : 30 Mar, 2023

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 = 5 * (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++ code to convert radian to degree #include using namespace std;

// Function for conversion double Convert(double radian) { double pi = 3.14159; return(radian * (180 / pi)); }

// Driver code int main() { double radian = 5.0; double degree = Convert(radian);

cout << degree;
return 0;

}

// This code is contributed by Khushboogoyal499

C

// C code to convert radian to degree

#include <stdio.h>

// Function for conversion 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; }

Java

// Java code to convert radian to degree

import java.io.*; class GFG { // Function for conversion 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); } }

Python3

Python code to convert radian to degree

Function for conversion

def Convert(radian): pi = 3.14159 # Simply used the formula degree = radian * (180/pi) return degree

Driver Code

radian = 5 print("degree =",(Convert(radian)))

C#

// C# code to convert radian to degree. using System;

class GFG {

// Function for conversion
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.

PHP

JavaScript

`

Time Complexity: O(1), as we are not using any loops.

Auxiliary Space: O(1), as we are not using any extra space.

Example :

The following program demonstrates toDegree() and toRadians().

C++ `

#include #include using namespace std;

int main() { double theta = 120.0;

// degree --> radians
cout << theta << " degree is " << (theta * M_PI / 180) << " radians." << endl;

theta = 1.312;
// radians --> degrees
cout << theta << " radians is " << (theta * 180 / M_PI) << " degrees." << endl;

return 0;

}

Java

// Demonstrate toDegree and toRadians():

class GFG{ public static void main(String args[]){ double theta = 120.0;

// degree --> radians System.out.println(theta+ " degree is "+ Math.toRadians(theta)+ " radians.");

theta =1.312; // radians --> degrees System.out.println(theta+ " radians is "+ Math.toDegrees(theta)+ " degrees."); } }

Python3

Demonstrate toDegree and toRadians():

import math

theta = 120.0;

#degree --> radians print(theta, "degree is", math.radians(theta), "radians.");

theta =1.312; #radians --> degrees print(theta, "radians is ", math.degrees(theta), "degrees.");

This code is contributed by phasing17

` JavaScript ``

// Convert degrees to radians function degreesToRadians(degrees) { return degrees * Math.PI / 180; }

// Convert radians to degrees function radiansToDegrees(radians) { return radians * 180 / Math.PI; }

// Example usage const theta = 120.0;

// degree --> radians console.log(${theta} degree is ${degreesToRadians(theta)} radians.);

const radians = 1.312;

// radians --> degrees console.log(${radians} radians is ${radiansToDegrees(radians)} degrees.);

`` C# `

using System;

class MainClass { public static void Main(string[] args) { double theta = 120.0; // degree --> radians Console.WriteLine(theta + " degree is " + (theta * Math.PI / 180) + " radians.");

    theta = 1.312;
    // radians --> degrees
    Console.WriteLine(theta + " radians is "
                      + (theta * 180 / Math.PI)
                      + " degrees.");
}

}

`

Output

120.0 degree is 2.0943951023931953 radians. 1.312 radians is 75.17206272116401 degrees.

Time Complexity: O(1), as it is using constant operations
Auxiliary Space: O(1), as it is using constant variables

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