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Program to find the Interior and Exterior Angle of a Regular Polygon
  • Last Updated : 13 Aug, 2018

Given the number of sides n of a regular polygon. The task is to find out the Interior angle and Exterior angle of the polygon.

Examples:

Input : n = 6
Output : Interior angle: 120
         Exterior angle: 60

Input : n = 10
Output: Interior angle: 144
        Exterior angle: 36

Interior angle: The angle between two adjacent sides inside the polygon is known as the Interior angle.
Formula to find the Interior angle:

Interior Angle = \frac{(n-2)\times 180}{n}

Exterior angle: The angle formed by any side of a polygon and the extension of its adjacent side is known as Exterior angle.



Exterior angle = \frac{360}{n}

interior and exterior angle

Program to find interior and exterior angles of a Regular Polygon:

C++




// CPP program to find the interior and 
// exterior angle of a given polygon
#include <iostream>
using namespace std;
  
// function to find the interior and
// exterior angle
void findAngle(int n)
{
    int interiorAngle, exteriorAngle;
  
    // formula to find the interior angle
    interiorAngle = (n - 2) * 180 / n;
      
    // formula to find the exterior angle
    exteriorAngle = 360 / n;
  
    // Displaying the output
    cout << "Interior angle: " << interiorAngle << endl;
  
    cout << "Exterior angle: " << exteriorAngle;
}
  
// Driver code
int main()
{
    int n = 10;
      
    // Function calling
    findAngle(n);
    return 0;
}


Java




// Java program to find the interior and 
// exterior angle of a given polygon
import java.io.*;
  
class GFG {
      
    // function to find the interior and
    // exterior angle
    static void findAngle(int n)
    {
        int interiorAngle, exteriorAngle;
      
        // formula to find the interior angle
        interiorAngle = (n - 2) * 180 / n;
          
        // formula to find the exterior angle
        exteriorAngle = 360 / n;
      
        // Displaying the output
        System.out.println("Interior angle: " + interiorAngle);
      
        System.out.println("Exterior angle: " + exteriorAngle);
    }
      
    // Driver code
    public static void main (String[] args)
    {
        int n = 10;
      
        // Function calling
        findAngle(n);
    }
}


Python3




# Python3 program to find 
# the interior and exterior
# angle of a given polygon
  
# function to find 
# the interior and
# exterior angle
def findAngle(n):
  
    # formula to find the
    # interior angle
    interiorAngle = int((n - 2) * 180 / n)
      
    # formula to find 
    # the exterior angle
    exteriorAngle = int(360 / n)
  
    # Displaying the output
    print("Interior angle: " ,
            interiorAngle )
  
    print("Exterior angle: "
           exteriorAngle )
  
# Driver code
n = 10
      
# Function calling
findAngle(n)
  
# This code is contributed 
# by Smitha


C#




// C# program to find the 
// interior and exterior
// angle of a given polygon
using System;
  
class GFG 
{
      
    // function to find
    // the interior and
    // exterior angle
    static void findAngle(int n)
    {
        int interiorAngle, 
            exteriorAngle;
      
        // formula to find 
        // the interior angle
        interiorAngle = (n - 2) * 180 / n;
          
        // formula to find 
        // the exterior angle
        exteriorAngle = 360 / n;
      
        // Displaying the output
        Console.Write("Interior angle: " +
                    interiorAngle + "\n");
      
        Console.Write("Exterior angle: "
                           exteriorAngle);
    }
      
    // Driver code
    public static void Main ()
    {
        int n = 10;
      
        // Function calling
        findAngle(n);
    }
}
  
// This code is contributed
// by Smitha


PHP




<?php
// PHP program to find the 
// interior and exterior 
// angle of a given polygon
  
// function to find the 
// interior and exterior
// angle
function findAngle($n)
{
    $interiorAngle
    $exteriorAngle;
  
    // formula to find 
    // the interior angle
    $interiorAngle = ($n - 2) * 
                      180 / $n;
      
    // formula to find 
    // the exterior angle
    $exteriorAngle = 360 /$n;
  
    // Displaying the output
    echo "Interior angle: "
          $interiorAngle, "\n" ;
  
    echo "Exterior angle: " ,
          $exteriorAngle;
}
  
// Driver code
$n = 10;
  
// Function calling
findAngle($n);
  
// This code is contributed
// by inder_verma.
?>


Output:

Interior angle: 144
Exterior angle: 36

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