< Polygon > .circumscribingCircle () -- < Circle >  

< Polygon > .inscribingCircle () -- < Circle >  

< Circle > .circumscribingPolygon (< int >) -- < Polygon >  

< Circle > .inscribingPolygon (< int >) -- < Polygon >  

EXAMPLES  

What is the area of the ``ring'' bounded by the inscribing circle and the circumscribing circle of a heptagon of side 25.2?  

Polygon p = new Polygon (7,  25.2);   Circle ic = p.inscribingCircle ();   Circle cc = p.circumscribingCircle ();   double ringArea = cc.area () - ic.area ();

 

What is the area of the hexagon which inscribes a circle of diameter 50?  

Circle c = new Circle (50.0 / 2.0);   Polygon x = c.inscribingPolygon (6);   double a = x.area ();

 

Some notes on character strings  

The type ``string'' has the name string.  

EXAMPLES  

String animal1;   animal1 =  ``zebra'';     String animal2 =  ``fish'';   String wierdAnimal = animal1 + animal2;   IO.println (wierdAnimal);

 

THE ENVIRONMENT  

animal1 -- ``zebra''   animal2 -- ``fish''   wierdAnimal -- ``zebrafish''     String s = IO.readString ();

 

Definition   An APPLICATION is a Java class containing a public static method called ``main.''

Definition   An APPLICATION ARCHITECTURE is a set of conventions regarding the components of an application and the communication among these components.

Definition   BASIC APPLICATION ARCHITECTURE is the application architecture in which teh application class contains precisely one thing,  the main method.

PROBLEM  

A line of n congruent squares collectively has area a.   What is the perimeter of the line of squares?  

SOLUTION  

?   Class -- lineOfSquaresBAA   ?   Program       / /Declare some variables.           int nrSquares;           double figureArea;           double squareArea;           double squareSide;           int eeCount;           double perimeter;       / /Read the data.           nrSquares = IO.read_int ();           figureArea = IO.read_double ();       / /Compute the area of a square.           squareArea = figureArea /nrSquares;       / /Compute side length of a square.           squareSide = Math.sqrt (squareArea);       / /Compute the number of external edges.           eeCount = (2 * nrSquares) + 2;       / /Compute the perimeter.           perimeter = eeCount * squareSide;       / /Display the result.           IO.println (``Perimeter =  ``+ perimeter);