Find the GPS locations for Atlanta, Georgia; Orlando, Florida; Savannah, Georgia; and Char...

Program Code:

/*******************************************************

* The java program Find the GPS locations for Atlanta,*

* Georgia; Orlando, Florida; Savannah, Georgia; and *

* Charlotte, North Carolina. Display The estimated *

* area enclosed by these four cities. *

******************************************************/

//Geography.java

public class Geography

{

public static void main(String[] args)

{

//Atlanta, Georgia; 51.5138505182,-0.15690922737098845

double x1 = 51.5138505182;

double y1 = -0.15690922737098845;

//Orlando, Florida; 28.5383355,-81.37923649999999

double x2 = 28.5383355;

double y2 = -81.37923649999999;

//Savannah, Georgia; 32.0835407,-81.09983419999998

double x3 = 32.0835407;

double y3 = -81.09983419999998;

//Charlotte, North Carolina;35.2270869,-80.84312669999997

double x4 = 35.2270869;

double y4 = -80.84312669999997;

// Calculating 1st triangle; p1, p2 and, p3

double side1 = Math.sqrt(Math.pow(x1 - x2, 2) +

Math.pow(y1 - y2, 2));

double side2 = Math.sqrt(Math.pow(x2 - x3, 2) +

Math.pow(y2 - y3, 2));

double side3 = Math.sqrt(Math.pow(x1 - x3, 2) +

Math.pow(y1 - y3, 2));

double s = (side1 + side2 + side3) / 2;

double area = Math.sqrt(s * (s - side1) * (s - side2) *

(s - side3));

// Calculating 2nd triangle; p1, p3 and, p4

side1 = Math.sqrt(Math.pow(x1-x3,2)+Math.pow(y1-y3,2));

side2 = Math.sqrt(Math.pow(x4-x3,2)+Math.pow(y4-y3, 2));

side3 = Math.sqrt(Math.pow(x1-x4,2)+Math.pow(y1- y4, 2));

s = (side1 + side2 + side3) / 2;

area = Math.sqrt(s*(s-side1)*(s-side2)*(s-side3))+ area;

//display the area enclosed by 4 cities.

System.out.println("The area enclosed by 4 cities is "

+area+ " km^2");

}//end of main

}// end of the class

Sample Output:

The area enclosed by 4 cities is 265.49516161009615 km^2