Approximating : The constant, is the ratio of the circumference of a circle to its...

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Approximating : The constant, "" is the ratio of the circumference of a circle to its diameter. It is known to be irrational and its decimal expansion therefore does not terminate or repeat. There are many ways to approximate . One way is to use the Nilakantha series: = (3 + 4.0/(2*3*4) - 4.0/ (4*5*6) + 4.0/ (6*7*8) - 4.0/ (8*9*10) + 4.0/(10*11*12) ...) Create a Java application in NetBeans called Lab01" and write a program called Lab01.java that displays the following to the console: Your initials in the following format (Here are mine): PP P * AAAAAA AAAAAAA P P P P P P P P * Program Name: * Program Description: * Program Author: * Date Created: Change # P P P P P P P Since we have yet to cover variables in this class (they are introduced in chapter 2), you cannot use them to store the results of the above expression. To space down to the next line, use the escape character inside the quotes of your println statement. Also, to print the character "", use the Unicode character \u03C0 inside the quotes of your println statement. To concatenate a string and an arithmetic calculation, use the + concatenation sign. The result of integer division will only display the quotient and ignore the remainder. To display a more precise calculation, use, for example, 1.0 in the numerators above rather than 1 to generate a result with decimals. Also, be sure to use parentheses to ensure correct calculations. Sample console output: PP P Next, display the same output using the showMessageDialog method in the JOptionPane class. Be sure to place the following import statement after the package statement so that you have access to the showMessageDialog() method in the JOptionPane class: import javax.swing.JOptionPane; Here's an example statement: JOptionPane.showMessageDialog(null, "The sum of 1+2 = " + (1+2)); For your Java source file, you must include a program header documentation block, use block comments (/* */), and line comments (//). All programs that you write hereafter in this course must have a program header documentation block. If you do not include this, points will be taken off your assignment. Here is an example of a program documentation header block: P P Welcome to CSC108. (Your Name)'s approximation of it is: (space down one line) display the result of: 3.1427128427128426 Change Date OK Sample message dialog box output: Message i (3 + 4.0/(2*3*4) Lab01 - Approximating PI This approximates using the following Nilakantha series: = (3 + 4.0/(2*3*4) - 4.0/(4*5*6) + 4.0/ (6*7*8) - 4.0/ (8*9*10) + 4.0/(10*11*12) ... Patrick J Cassidy 08/24/2021 Programmer Name Welcome to CSC108. Patrick Cassidy's approximation of is: 4.0/ (4*5*6) + 4.0/ (6*7*8) - 4.0/(8*9*10) + 4.0/(10*11*12) X Patrick Cassidy's approximation of TT is: 3.1427128427128426 Description ***/ Zip the Lab01 project folder (Not just the Lab01.java source file). Then, rename the zipped file to "Your Name Lab01" and attach the file to the appropriate assignment in Blackboard under Assignments. You may want to refer to "How to save your Project" in BlackBoard. Once you have attached the file please make sure to click Submit. Approximating : The constant, "" is the ratio of the circumference of a circle to its diameter. It is known to be irrational and its decimal expansion therefore does not terminate or repeat. There are many ways to approximate . One way is to use the Nilakantha series: = (3 + 4.0/(2*3*4) - 4.0/ (4*5*6) + 4.0/ (6*7*8) - 4.0/ (8*9*10) + 4.0/(10*11*12) ...) Create a Java application in NetBeans called Lab01" and write a program called Lab01.java that displays the following to the console: Your initials in the following format (Here are mine): PP P * AAAAAA AAAAAAA P P P P P P P P * Program Name: * Program Description: * Program Author: * Date Created: Change # P P P P P P P Since we have yet to cover variables in this class (they are introduced in chapter 2), you cannot use them to store the results of the above expression. To space down to the next line, use the escape character inside the quotes of your println statement. Also, to print the character "", use the Unicode character \u03C0 inside the quotes of your println statement. To concatenate a string and an arithmetic calculation, use the + concatenation sign. The result of integer division will only display the quotient and ignore the remainder. To display a more precise calculation, use, for example, 1.0 in the numerators above rather than 1 to generate a result with decimals. Also, be sure to use parentheses to ensure correct calculations. Sample console output: PP P Next, display the same output using the showMessageDialog method in the JOptionPane class. Be sure to place the following import statement after the package statement so that you have access to the showMessageDialog() method in the JOptionPane class: import javax.swing.JOptionPane; Here's an example statement: JOptionPane.showMessageDialog(null, "The sum of 1+2 = " + (1+2)); For your Java source file, you must include a program header documentation block, use block comments (/* */), and line comments (//). All programs that you write hereafter in this course must have a program header documentation block. If you do not include this, points will be taken off your assignment. Here is an example of a program documentation header block: P P Welcome to CSC108. (Your Name)'s approximation of it is: (space down one line) display the result of: 3.1427128427128426 Change Date OK Sample message dialog box output: Message i (3 + 4.0/(2*3*4) Lab01 - Approximating PI This approximates using the following Nilakantha series: = (3 + 4.0/(2*3*4) - 4.0/(4*5*6) + 4.0/ (6*7*8) - 4.0/ (8*9*10) + 4.0/(10*11*12) ... Patrick J Cassidy 08/24/2021 Programmer Name Welcome to CSC108. Patrick Cassidy's approximation of is: 4.0/ (4*5*6) + 4.0/ (6*7*8) - 4.0/(8*9*10) + 4.0/(10*11*12) X Patrick Cassidy's approximation of TT is: 3.1427128427128426 Description ***/ Zip the Lab01 project folder (Not just the Lab01.java source file). Then, rename the zipped file to "Your Name Lab01" and attach the file to the appropriate assignment in Blackboard under Assignments. You may want to refer to "How to save your Project" in BlackBoard. Once you have attached the file please make sure to click Submit.

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public class ValueOfPi public static void mainString args int iteration 0 double value 00 int ... View the full answer