Using C++

Declare a class geometry that contains two (2) data items, measure1 and measure2, of type double.

The constructor has two formal arguments that correspond to the data members. The second argument has the default value 0.0, which allows a geometry object to be declared with a single runtime argument.

When measure2 is 0.0, the figure represented is a circle; otherwise, it is a rectangle.

For example,

// represent a circle of radius 1 and rectangle with

// dimensions 3 x 5

geometry circ(1), rect(3,5);

The function border() returns the perimeter of the object. The function area() and diagonal() returns the diagonal of the object. Note that the diameter of a circle is its diameter. Implement the geometry class in the file geometry.h, and develop the following application.

Input the radius of a circle, and declare a geometry object that represents it. Use this radius to declare a square that circumscribes the circle. Declare a circle that circumscribes the square. Output the area and perimeter of each figure, i.e. the square that circumscribes the circle and the circle that circumscribes the square. To manipulate circle you will need to define a constant PI = 3.141592653589793. Also, you will need to use the function sqrt. For this you must include cmath. (Hint: the diagonal of a square can be obtained by using the Pythagorean theorem. Also, a square circumscribed by a circle has a diagonal that is twice the radius of the circle). The following figure shows the three objects that you are creating.

An example screen shot of the Windows Command Prompt window follows:

Enter a radius: 5

Area/perimeter of inner circle: 78.5398 / 31.4159

Area/perimeter of square: 100 / 40

Area/perimeter of outer circle: 157.08 / 44.4288

Press any key to continue . . .