给定角度的弧长

角度是两条光线在平面上的公共点相遇时的几何图形。这些射线形成角度的侧面，并且汇合点称为角度的顶点。我们需要牢记的是，形成角度的平面不必是欧几里得平面。现在，在一个圆中，圆弧的长度是圆周的一部分。该图解释了我们讨论过的各个部分：

给定一个角度和一个圆的直径，我们可以使用以下公式计算弧的长度：

ArcLength = ( 2 * pi * radius ) * ( angle / 360 )
Where pi = 22/7,
diameter = 2 * radius,
angle is in degree.

例子 ：

Input : 
Diameter = 25
Angle = 45
Explanation : ((22/7) * 25) * (45/360)
Output : 9.821 (rounded)

Input : 
Diameter = 80
Angle = 60
Explanation : ((22/7) * 80) * (60/360)
Output : 41.905 (rounded)

注意：如果角度大于或等于360度，则由于无法形成角度，因此无法计算弧长。

C++

// C++ program to calculate
// length of an arc
#include 
using namespace std;
 
// function to calculate
// arc length
double arcLength(double diameter,
                 double angle)
{
    double pi = 22.0 / 7.0;
    double arc;
 
    if (angle >= 360)
    {
        cout<< "Angle cannot",
               " be formed";
        return 0;
    }
    else
    {
        arc = (pi * diameter) *
              (angle / 360.0);
        return arc;
    }
}
 
// Driver Code
int main()
{
    double diameter = 25.0;
    double angle = 45.0;
     
    double arc_len = arcLength(diameter,
                                 angle);
    cout << (arc_len);
 
    return 0;
}

Java

// Java program to calculate
// length of an arc
public class Arc {
     
    // function to calculate arc length
    static double arcLength(double diameter,
                              double angle)
    {
        double pi = 22.0 / 7.0;
        double arc;
 
        if (angle >= 360) {
            System.out.println("Angle cannot"
                              + " be formed");
            return 0;
        }
        else {
            arc = (pi * diameter) * (angle / 360.0);
            return arc;
        }
    }
     
    // Driver Code
    public static void main(String args[])
    {
        double diameter = 25.0;
        double angle = 45.0;
        double arc_len = arcLength(diameter, angle);
        System.out.println(arc_len);
    }
}

Python3

# Python3 code to calculate
# length of an arc
import math
 
# function to calculate arc length
def arcLength(diameter, angle ):
    if angle >= 360:
        print("Angle cannot be formed")
        return 0
    else:
        arc = (3.142857142857143 * diameter) * (angle / 360.0)
        return arc
         
# Driver Code
diameter = 25.0
angle = 45.0
arc_len = arcLength(diameter, angle)
print(arc_len)
 
# This code is contributed by "Sharad_Bhardwaj".

C#

// C# program to calculate length of an arc
using System;
 
public class GFG {
     
    // function to calculate arc length
    static double arcLength(double diameter,
                              double angle)
    {
        double pi = 22.0 / 7.0;
        double arc;
 
        if (angle >= 360) {
            Console.WriteLine("Angle cannot"
                              + " be formed");
            return 0;
        }
        else {
            arc = (pi * diameter) * (angle / 360.0);
            return arc;
        }
    }
     
    // Driver Code
    public static void Main()
    {
         
        double diameter = 25.0;
        double angle = 45.0;
         
        double arc_len = arcLength(diameter, angle);
         
        Console.WriteLine(arc_len);
    }
}
 
// This code is contributed by Anant Agarwal.

PHP

= 360)
        {
            echo "Angle cannot",
                   " be formed";
            return 0;
        }
        else
        {
            $arc = ($pi * $diameter) *
                   ($angle / 360.0);
            return $arc;
        }
    }
     
// Driver Code
$diameter = 25.0;
$angle = 45.0;
$arc_len = arcLength($diameter, $angle);
echo ($arc_len);
 
// This code is contributed by ajit
?>

Javascript

 
// JavaScript program to calculate
// length of an arc 
 
// function to calculate
// arc length
function arcLength(diameter, angle)
{
    let pi = 22.0 / 7.0;
    let arc;
 
    if (angle >= 360)
    {
        document.write("Angle cannot" +
            " be formed");
        return 0;
    }
    else
    {
        arc = (pi * diameter) *
            (angle / 360.0);
        return arc;
    }
}
 
// Driver Code
 
    let diameter = 25.0;
    let angle = 45.0;
     
    let arc_len = arcLength(diameter,
                                angle);
    document.write(arc_len);
 
// This code is contributed by Surbhi Tyagi.
 

输出：

9.821428571428571