Chapter 4, Problem 4.1PE

Question

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Answer 1

Question

Chapter 4, Problem 4.1PE

Expert Solution & Answer

Program Plan Intro

Geometry: Area of the pentagon

Program Plan:

Import required packages.
Declare the main class method “pentagon”.
- In the main method.
  - Create an object “in1” for the scanner class.
  - Get length from the user.
  - Declare the required variables for area of pentagon.
  - Calculate the area of the pentagon.
  - Display the pentagon.

Program Description Answer

The below program reads length and display the area of the pentagon.

Explanation of Solution

Program:

//import the required header files

import java.util.Scanner;

//create a class "pentagon"

public class pentagon

{

//main function

public static void main(String[] args)

{

//Create an object

Scanner in1 = new Scanner(System.in);

//Get length from user

System.out.print("Enter the length from the center to a vertex: ");

//Get the length in "double" type

double r1 = in1.nextDouble();

//Calculate "s1"

double s1 = 2 * r1 * Math.sin(Math.PI / 5);

//Calculate "a1"

double a1 = 5 * s1 * s1 / (4 * Math.tan(Math.PI / 5));

//Display "area"

System.out.println("The area of the pentagon is " +

Math.round(a1 * 100) / 100.0);

}

Sample Output

Enter the length from the center to a vertex: 5.5

The area of the pentagon is 71.92

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Answer 2

Question

Chapter 4, Problem 4.1PE

Expert Solution & Answer

Program Plan Intro

Geometry: Area of the pentagon

Program Plan:

Import required packages.
Declare the main class method “pentagon”.
- In the main method.
  - Create an object “in1” for the scanner class.
  - Get length from the user.
  - Declare the required variables for area of pentagon.
  - Calculate the area of the pentagon.
  - Display the pentagon.

Program Description Answer

The below program reads length and display the area of the pentagon.

Explanation of Solution

Program:

//import the required header files

import java.util.Scanner;

//create a class "pentagon"

public class pentagon

{

//main function

public static void main(String[] args)

{

//Create an object

Scanner in1 = new Scanner(System.in);

//Get length from user

System.out.print("Enter the length from the center to a vertex: ");

//Get the length in "double" type

double r1 = in1.nextDouble();

//Calculate "s1"

double s1 = 2 * r1 * Math.sin(Math.PI / 5);

//Calculate "a1"

double a1 = 5 * s1 * s1 / (4 * Math.tan(Math.PI / 5));

//Display "area"

System.out.println("The area of the pentagon is " +

Math.round(a1 * 100) / 100.0);

}

Sample Output

Enter the length from the center to a vertex: 5.5

The area of the pentagon is 71.92

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 4, Problem 4.1PE

Expert Solution & Answer

Program Plan Intro

Geometry: Area of the pentagon

Program Plan:

Import required packages.
Declare the main class method “pentagon”.
- In the main method.
  - Create an object “in1” for the scanner class.
  - Get length from the user.
  - Declare the required variables for area of pentagon.
  - Calculate the area of the pentagon.
  - Display the pentagon.

Program Description Answer

The below program reads length and display the area of the pentagon.

Explanation of Solution

Program:

//import the required header files

import java.util.Scanner;

//create a class "pentagon"

public class pentagon

{

//main function

public static void main(String[] args)

{

//Create an object

Scanner in1 = new Scanner(System.in);

//Get length from user

System.out.print("Enter the length from the center to a vertex: ");

//Get the length in "double" type

double r1 = in1.nextDouble();

//Calculate "s1"

double s1 = 2 * r1 * Math.sin(Math.PI / 5);

//Calculate "a1"

double a1 = 5 * s1 * s1 / (4 * Math.tan(Math.PI / 5));

//Display "area"

System.out.println("The area of the pentagon is " +

Math.round(a1 * 100) / 100.0);

}

Sample Output

Enter the length from the center to a vertex: 5.5

The area of the pentagon is 71.92

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 4, Problem 4.1PE

Expert Solution & Answer

Program Plan Intro

Geometry: Area of the pentagon

Program Plan:

Import required packages.
Declare the main class method “pentagon”.
- In the main method.
  - Create an object “in1” for the scanner class.
  - Get length from the user.
  - Declare the required variables for area of pentagon.
  - Calculate the area of the pentagon.
  - Display the pentagon.

Program Description Answer

The below program reads length and display the area of the pentagon.

Explanation of Solution

Program:

//import the required header files

import java.util.Scanner;

//create a class "pentagon"

public class pentagon

{

//main function

public static void main(String[] args)

{

//Create an object

Scanner in1 = new Scanner(System.in);

//Get length from user

System.out.print("Enter the length from the center to a vertex: ");

//Get the length in "double" type

double r1 = in1.nextDouble();

//Calculate "s1"

double s1 = 2 * r1 * Math.sin(Math.PI / 5);

//Calculate "a1"

double a1 = 5 * s1 * s1 / (4 * Math.tan(Math.PI / 5));

//Display "area"

System.out.println("The area of the pentagon is " +

Math.round(a1 * 100) / 100.0);

}

Sample Output

Enter the length from the center to a vertex: 5.5

The area of the pentagon is 71.92

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Expert Solution & Answer

Program Plan Intro

Geometry: Area of the pentagon

Program Plan:

Import required packages.
Declare the main class method “pentagon”.
- In the main method.
  - Create an object “in1” for the scanner class.
  - Get length from the user.
  - Declare the required variables for area of pentagon.
  - Calculate the area of the pentagon.
  - Display the pentagon.

Program Description Answer

The below program reads length and display the area of the pentagon.

Explanation of Solution

Program:

//import the required header files

import java.util.Scanner;

//create a class "pentagon"

public class pentagon

{

//main function

public static void main(String[] args)

{

//Create an object

Scanner in1 = new Scanner(System.in);

//Get length from user

System.out.print("Enter the length from the center to a vertex: ");

//Get the length in "double" type

double r1 = in1.nextDouble();

//Calculate "s1"

double s1 = 2 * r1 * Math.sin(Math.PI / 5);

//Calculate "a1"

double a1 = 5 * s1 * s1 / (4 * Math.tan(Math.PI / 5));

//Display "area"

System.out.println("The area of the pentagon is " +

Math.round(a1 * 100) / 100.0);

}

Sample Output

Enter the length from the center to a vertex: 5.5

The area of the pentagon is 71.92

Answer 6

Expert Solution & Answer

Program Plan Intro

Geometry: Area of the pentagon

Program Plan:

Import required packages.
Declare the main class method “pentagon”.
- In the main method.
  - Create an object “in1” for the scanner class.
  - Get length from the user.
  - Declare the required variables for area of pentagon.
  - Calculate the area of the pentagon.
  - Display the pentagon.

Program Description Answer

The below program reads length and display the area of the pentagon.

Explanation of Solution

Program:

//import the required header files

import java.util.Scanner;

//create a class "pentagon"

public class pentagon

{

//main function

public static void main(String[] args)

{

//Create an object

Scanner in1 = new Scanner(System.in);

//Get length from user

System.out.print("Enter the length from the center to a vertex: ");

//Get the length in "double" type

double r1 = in1.nextDouble();

//Calculate "s1"

double s1 = 2 * r1 * Math.sin(Math.PI / 5);

//Calculate "a1"

double a1 = 5 * s1 * s1 / (4 * Math.tan(Math.PI / 5));

//Display "area"

System.out.println("The area of the pentagon is " +

Math.round(a1 * 100) / 100.0);

}

Sample Output

Enter the length from the center to a vertex: 5.5

The area of the pentagon is 71.92

Answer 7

Expert Solution & Answer

Answer 8

Expert Solution & Answer

Answer 9

Program Plan Intro

Geometry: Area of the pentagon

Program Plan:

Import required packages.
Declare the main class method “pentagon”.
- In the main method.
  - Create an object “in1” for the scanner class.
  - Get length from the user.
  - Declare the required variables for area of pentagon.
  - Calculate the area of the pentagon.
  - Display the pentagon.