Update Exercise_04_03.java

Exercise_04/Exercise_04_03/Exercise_04_03.java

@@ -6,3 +6,75 @@
 distance between two cities. Divide the polygon into two triangles and use the
 formula in Programming Exercise 2.19 to compute the area of a triangle.)
 */
+public class Exercise_04_03 {  
+    public static void main(String[] args) {  
+        final double RADIUS = 6371.01;
+        double AtlantaLatitude = Math.toRadians(33.753746);
+        double AtlantaLongitude = Math.toRadians(-84.386330);
+        double OrlandoLatitude = Math.toRadians(28.5383355);
+        double OrlandoLongitude = Math.toRadians(-81.3792365);
+        double SavannahLatitude = Math.toRadians(32.0835407);
+        double SavannahLongitude = Math.toRadians(-81.0998342);
+        double CharlotteLatitude = Math.toRadians(35.2270869);
+        double CharlotteLongitude = Math.toRadians(-80.8431267);
+
+        double distanceAtlantaOrlando =
+                RADIUS * Math.acos(Math.sin(AtlantaLatitude)
+                                * Math.sin(OrlandoLatitude)
+                        + Math.cos(AtlantaLatitude)
+                                * Math.cos(OrlandoLatitude) 
+                                * Math.cos(AtlantaLongitude - OrlandoLongitude)
+                );
+
+        double distanceOrlandoSavannah = 
+                RADIUS * Math.acos(Math.sin(OrlandoLatitude)
+                                * Math.sin(SavannahLatitude)
+                        + Math.cos(OrlandoLatitude)
+                                * Math.cos(SavannahLatitude) 
+                                * Math.cos(OrlandoLongitude - SavannahLongitude)
+                );
+
+        double distanceSavannahCharlotte =
+                RADIUS * Math.acos(Math.sin(SavannahLatitude)
+                                * Math.sin(CharlotteLatitude)
+                        + Math.cos(SavannahLatitude)
+                                * Math.cos(CharlotteLatitude) 
+                                * Math.cos(SavannahLongitude - CharlotteLongitude)
+                );
+
+        double distanceAtlantaCharlotte =
+                RADIUS * Math.acos(Math.sin(AtlantaLatitude)
+                                * Math.sin(CharlotteLatitude)
+                        + Math.cos(AtlantaLatitude)
+                                * Math.cos(CharlotteLatitude) 
+                                * Math.cos(AtlantaLongitude - CharlotteLongitude)
+                );
+
+        double distanceAtlantaSavannah =
+                RADIUS * Math.acos(Math.sin(AtlantaLatitude)
+                                * Math.sin(SavannahLatitude)
+                        + Math.cos(AtlantaLatitude)
+                                * Math.cos(SavannahLatitude) 
+                                * Math.cos(AtlantaLongitude - SavannahLongitude)
+                );
+
+        double s1 = (distanceAtlantaCharlotte
+                + distanceSavannahCharlotte + distanceAtlantaSavannah) / 2;
+        double area1 =
+                Math.pow(s1 * (s1
+                        - distanceAtlantaCharlotte) * (s1
+                                - distanceSavannahCharlotte) * (s1
+                                        - distanceAtlantaSavannah), 0.5);
+
+        double s2 = (distanceOrlandoSavannah 
+                + distanceAtlantaOrlando + distanceAtlantaSavannah) / 2;
+        double area2 =
+                Math.pow(s2 * (s2 
+                        - distanceOrlandoSavannah) * (s2 
+                                - distanceAtlantaOrlando) * (s2 
+                                        - distanceAtlantaSavannah), 0.5);
+
+        System.out.println("Areea = "
+                + Math.round((area1 + area2) * 100) / 100. + " km^2");
+    }  
+}