Arc length from given Angle (original) (raw)

Last Updated : 17 Feb, 2023

An angle is a geometrical figure when two rays meet at a common point on a plane. These rays form the sides of the angle and the meeting point is referred as the vertex of the angle. There is something that we need to keep in mind that the plane that forms an angle doesn't need to be a Euclidean plane. Now, in a circle, the length of an arc is a portion of the circumference. The figure explains the various parts we have discussed:

Given an angle and the diameter of a circle, we can calculate the length of the arc using the formula:

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

Examples :

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)

Note: If angle is greater than or equal to 360 degree, then the arc length cannot be calculated, since no angle is possible.

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

JavaScript

`

Output:

9.821428571428571

Time Complexity: O(1)
Auxiliary Space: O(1)