360-gon number

Given a number N, the task is to find N^th 360-gon number.

A 360-gon number is a class of figurate numbers. It has a 360-sided polygon called 360-gon. The N-th 360-gon number count’s the 360 number of dots and all other dots are surrounding with a common sharing corner and make a pattern. The first few 360-gon numbers are 1, 360, 1077, 2152, 3585, 5376, …

Examples:

Input: N = 2 
Output: 360 
Explanation:
The second 360-gonol number is 360. 
Input: N = 3 
Output: 1077 

Approach: The N-th 360-gon number is given by the formula:

• Nth term of s sided polygon = 
  
• Therefore Nth term of 360 sided polygon is
  

• 
  

Below is the implementation of the above approach:

C++

// C++ implementation for
// above approach
#include <bits/stdc++.h>
using namespace std;

// Function to find the
// nth 360-gon Number
int gonNum360(int n)
{
    return (358 * n * n - 356 * n) / 2;
}

// Driver Code
int main()
{
    int n = 3;
    cout << gonNum360(n);

    return 0;
}

Java

// Java program for above approach
class GFG{

// Function to find the
// nth 360-gon Number
static int gonNum360(int n)
{
    return (358 * n * n - 356 * n) / 2;
}

// Driver code
public static void main(String[] args)
{
    int n = 3;
    System.out.print(gonNum360(n));
}
}

// This code is contributed by shubham

Python3

# Python3 implementation for
# above approach

# Function to find the
# nth 360-gon Number
def gonNum360(n):

    return (358 * n * n - 356 * n) // 2;

# Driver Code
n = 3;
print(gonNum360(n));

# This code is contributed by Code_Mech

C#

// C# program for above approach
using System;
class GFG{

// Function to find the
// nth 360-gon Number
static int gonNum360(int n)
{
    return (358 * n * n - 356 * n) / 2;
}

// Driver code
public static void Main(String[] args)
{
    int n = 3;
    Console.Write(gonNum360(n));
}
}

// This code is contributed by sapnasingh4991

Javascript

<script>

// JavaScript implementation for
// above approach

// Function to find the
// nth 360-gon Number
function gonNum360(n)
{
    return (358 * n * n - 356 * n) / 2;
}

// Driver Code
var n = 3;
document.write(gonNum360(n));

</script>

Output:

1077

Reference: https://en.wikipedia.org/wiki/360-gon