Functionality

< Square > .circumscribingCircle () - > < circle > (circle goes outside the square through the vertexes) < Square > .inscribingCircle () - > < circle > (circle goes inside circle touching each side) < Circle > .circumscribingSquare () - > < square > {the square outside the circle} < Circle > .inscribingSquare () - > < square > (the square inside the circle in a diamond fashion) < Polygon > .circumscribingCircle () - > < circle > (the circle outside the polygon) < Polygon > .inscribingCircle () - > < circle) (the circle inside the polygon) < Circle > .circumscribingPolygon (< int degree >) - > Polygon (the polygon outside of the Polygon of degree n) < Circle > .inscribingPolygon (< int degree >) - > Polygon (the polygon inside a circle)

 

Ex:
What is the area of the ``ring'' bounded by the inscribing circle and the circumscribing circle of a heptagon of 25.2?   (degree 7)  

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

 

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

Circle c = new Circle (50 / 2.0);   Polygon x = c.inscribingPolygon (6);   double a = x.area ();

 

Some notes on Strings
ex:
String animal;
String animal2;
String wierdAnimal = animal1 + animal2;
IO.println (wierAnimal);  

The Environment
animal1 - > ``Zebra''
animal2 - > ``Fish''
wierdAnimal - > ``ZebraFish''

To read the string in
String s = IO.readString ();  

Application Architectures  

Definition   An APPLICAITON 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 applicaiton and the communication among these components.

Problem
A line of n congruent squares collectively has area a.   What is the perimeter of the line of squares?
a = 75 /P =?  

The Basic Application Architecture  

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

The Java  

- > LineOfSquaresBAA   - >     class LineOfSquaresBAA   {   static public void main (----)   {   / /declare vars - establish data dictionary   int nrSquares;   double figureArea;   double squareArea;   double squareSideLength;   int eeCount;   double perimeter;     / /read the data   nrSquares = IO.read_int ();   figureArea = IO.read_double ();     / /compute area of a square   squareArea = figureArea /nrSquares;     / /compute the side length of a square   squareSide = Math.sqrt (squareArea);     / /compute the number of external edges   eeCount = (2 * nrSquares) + 2;     / /compute perimeter   perimeter = eeCount * squareSide;     IO.println (perimeter);