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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