# Java Program to Find Arc Length from Given Angle

In the previous article, we have discussed about Java Program to Find Shortest Distance from Center of a Circle to a Chord

In this article we are going to see how to find arc length from given angle using Java programming language.

## Java Program to Find Arc Length from Given Angle

Before Jumping into the program directly let’s see how to Find Arc Length from Given Angle.

Angle: In geometry, when two lines meets at a common end point then the figure formed by them is called as an angle.

Arc Length: In a circle, the length of an arc is a portion of the circumference.

To find the arc length from a given angle is :

Arc length = (circumference of the circle) * (Angle/360)

L = 2 * pi * R * A/360

Where,

• L – arc length
• Pi = 3.142
• R – radius of the circle
• A – angle in degree

Example:

r = 3
A = 120
L = 2 * pi * R * A/360
= 2*3.142*3*(120/360)
= 18*3.142
= 6.284

Let’s see different ways find arc length from given angle.

### Method-1: Java Program to Find Arc Length from Given Angle By Using Static Input Value

Approach:

• Declare a double variable say ‘r’ and assign the value to it, which holds the radius value of the circle.
• Declare a double variable say ‘a’ and assign the value to it, which holds the angle value in degree.
• Find the Arc length using the formula 2 * pi * R * A/360
• Print the result.

Program:

import java.io.*;
class Main
{
public static void main(String [] args)
{
double r = 3;
double a = 120;
// formula to find arc length
double l =  2 * 3.142 * r * a/360;
System.out.println("The arc length of the given angle is =" + l);
}
}

Output:

The arc length of the given angle is =6.284000000000001

### Method-2: Java Program to Find Arc Length from Given Angle By Using User Input Value

Approach:

• Declare a double variable say ‘r’ which holds the radius value of the circle.
• Declare a double variable say ‘a’ which holds the angle value in degree.
• Then we will take the value of “r”, “a” as user input using scanner class.
• Find the Arc length using the formula 2 * pi * R * A/360
• Print the result.

Program:

import java.io.*;
import java.util.Scanner;
class Main
{
public static void main(String [] args)
{
// scanner class obj ref
Scanner s = new Scanner(System.in);
System.out.println("Enter the length of radius of the circle");
// to take user input value
double r = s.nextDouble();
System.out.println("Enter the value of angle in degree");
double a =  s.nextDouble();
// formula to find arc length
double l =  2 * 3.142 * r * a/360;
System.out.println("The arc length of the given angle is " + l);
}
}

Output:

Enter the length of radius of the circle
5
Enter the value of angle in degree
48.5
The arc length of the given angle is 4.232972222222222

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