How to calculate the area of ​​a nonagon in Java?

A nonagon is a polygon with 9 sides and 9 interior angles. If all sides of a polygon are equal, it is called a regular nonagon, its interior angles are 140 degrees, and the sum of all interior angles is 1260 degrees. The nonagonal shape is also called the nonagonal shape.

The area of ​​a nonagon can be calculated by the following formula

When the side length is given

Area = 6.1818 * (s * s)

When the radius of the circumscribed circle (r) is given

Area = 2.8925 * (r * r)

When the edge center line (a) is given

Area = 3.2757 * (a * a)

In this article, we will learn how to calculate the area of ​​a nonagon using Java programming language.

Show you some examples

Example 1

When side length = 4.5

With a given side length, use the area formula of a nonagon,

Area = 125.18

Example 2

When the radius of the circumscribed circle (r) = 5

When the radius of the circumscribed circle is given, use the area formula of the nonagon,

Area = 72.31

Example 3

When edge center line (a) = 6

When the central angle of the side is given, use the area formula of the nonagon,

Area = 117.92

Syntax

To get the power of any number to the power of another number in Java, we have built-in java.lang.Math.pow() method.

The following is the syntax for using the method −

double power = Math.pow (inputValue,2)

algorithm

• Step 1 - Obtain the circle radius or the side length of the edge center line of the nonagon through initialization or user input.

• Step 2 - Then calculate the area using the respective area formulas of the nine sides.

• Step 3 - Print the area value of the nonagon.

Multiple methods

We provide solutions in different ways.

• By using side length

• By using the circumcircle radius (r)

• By using apothem (a)

Let’s look at the program and its output one by one.

Method 1: Using side length

In this method, declare and initialize the side length value of the nonagon. Then use an algorithm to find the area.

Example

import java.util.*;
public class Main {
   //main method
   public static void main(String[] args) {
   
      //side length of enneagon
      double s = 5.5;
      
      //find area by using formula
      double area = 6.1818 * (s * s);
      
      //print the result
      System.out.println("Area of enneagon is: " + area);
   }
}

Output

Area of enneagon is: 186.99945

Method 2: Using Circle Radius (r)

In this method, declare and initialize the radius of the circumscribed circle of the nonagon. Then use an algorithm to find the area.

Example

import java.util.*;
public class Main {

   //main method
   public static void main(String[] args) {
   
      //circumradius of enneagon
      double r = 4.5;
      
      //find area by using formula
      double area = 2.8925 * (r * r);
      
      //print the result
      System.out.println("Area of enneagon is: " + area);
   }
}

Output

Area of enneagon is: 58.573125000000005

Method 3: Using Apothem (a)

In this method, declare and initialize the center line of the nonagon. Then use an algorithm to find the area.

Example

import java.util.*;
public class Main {
    //main method
    public static void main(String[] args) {
    
         //apothem of enneagon
        double a = 6;
        
        //find area by using formula
        double area = 3.2757 * (a * a);
        
        //print the result
        System.out.println("Area of enneagon is: " + area);
    }
}

Output

Area of enneagon is: 117.9252

In this article, we explored how to calculate the area of ​​a nonagon in Java using different methods.

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