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 = 
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 =
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 anglevoid 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 codeint main(){ int n = 10; // Function calling findAngle(n); return 0;} |
Java
// Java program to find the interior and // exterior angle of a given polygonimport 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 angledef 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 coden = 10 # Function callingfindAngle(n)# This code is contributed # by Smitha |
C#
// C# program to find the // interior and exterior// angle of a given polygonusing 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// anglefunction 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 callingfindAngle($n);// This code is contributed// by inder_verma.?> |
Javascript
<script>// JavaScript program to find the interior and // exterior angle of a given polygon // function to find the interior and // exterior angle function findAngle(n) { let interiorAngle, exteriorAngle; // formula to find the interior angle interiorAngle = Math.floor((n - 2) * 180 / n); // formula to find the exterior angle exteriorAngle = Math.floor(360 / n); // Displaying the output document.write("Interior angle: " + interiorAngle + "<br>"); document.write("Exterior angle: " + exteriorAngle); } // Driver code let n = 10; // Function calling findAngle(n); // This code is contributed by Surbhi Tyagi.</script> |
Output
Interior angle: 144 Exterior angle: 36
Time Complexity: O(1)
Auxiliary Space: O(1)
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[…] Approach: For any N sided regular polygon, when rotated by 360 degrees, it aligns in the original position of the polygon. To find the minimum angle of rotation we use the property of symmetry of regular polygons. For an N sided regular polygon when rotated by 360/N degrees, the rotated polygon is in the same position as of the original polygon, which is the exterior angle of an N-sided regular polygon. […]