N 边正多边形的圆心角

给定一个表示 N 边正多边形的整数N ，任务是找到多边形中心的边所成的角，即中心角。

The central angle is the angle formed by the two vertices forming an edge and the centre.

例子：

Input: N = 6 
Output: 60 
Explanation: 
The polygon is a hexagon with an angle 60 degree.

Input: N = 5 
Output: 72 
Explanation: 
The polygon is a pentagon with an angle 72 degree.

方法：这个想法是观察，因为有一个正多边形，所有形成的中心角都是相等的。
所有圆心角加起来等于 360 度（一个完整的圆），所以圆心角的度量是 360 除以边数。

Hence, central angle = 360 / N degrees, where N is the number of sides.

下面是上述方法的实现：

C++

// C++ program for the above approach
 
#include 
using namespace std;
 
// Function to calculate central
// angle of a polygon
double calculate_angle(double n)
{
    // Calculate the angle
    double total_angle = 360;
    return total_angle / n;
}
 
// Driver code
int main()
{
    double N = 5;
    cout << calculate_angle(N);
    return 0;
}

Java

// Java program for the above approach
class GFG{
 
// Function to calculate central
// angle of a polygon
static double calculate_angle(double n)
{
     
    // Calculate the angle
    double total_angle = 360;
    return total_angle / n;
}
 
// Driver code
public static void main(String[] args)
{
    double N = 5;
     
    System.out.println(calculate_angle(N));
}
}
 
// This code is contributed by rock_cool

Python3

# Python3 program for the above approach
 
# Function to calculate central
# angle of a polygon
def calculate_angle(n):
 
    # Calculate the angle
    total_angle = 360;
    return (total_angle // n)
 
# Driver code 
N = 5
 
print(calculate_angle(N))
 
# This code is contributed by rameshtravel07

C#

// C# program for the above approach
using System;
 
class GFG{
 
// Function to calculate central
// angle of a polygon
static double calculate_angle(double n)
{
     
    // Calculate the angle
    double total_angle = 360;
    return total_angle / n;
}
 
// Driver code
public static void Main()
{
    double N = 5;
     
    Console.WriteLine(calculate_angle(N));
}
}
 
// This code is contributed by Ankita saini

Javascript

 
// Javascript program for the above approach
 
// Function to calculate central
// angle of a polygon
function calculate_angle(n)
{
     
    // Calculate the angle
    var total_angle = 360;
    return total_angle / n;
}
 
// Driver code
var N = 5;
   
document.write(calculate_angle(N));
 
// This code is contributed by Ankita saini
 

输出：

72

时间复杂度： O(1)
辅助空间： O(1)