Write the interface called GeometricObject, which declares two abstract methods: getPerimeter$()$ and getArea$(),$ as specified in the class diagram below.

Write the implementation class Circle which implements the interface GeometricObject.

The class ResizableCircle is defined as a subclass of the class Circle, which also implements an interface called Resizable, as shown in class diagram below. The interface Resizable declares an abstract method resize $()$ which modifies the dimension $($such as radius$)$ by the given percentage. Write the interface Resizable and the class ResizableCircle.

The class Circle must contain a main$()$ in which you must test the methods defined in Circle and ResizeableCircle.

Example Interaction:

The output $($assuming a radius of $100\mathrm{.}0$ and a percentage reduction of $10\%)$ should be as follows:

Perimeter of the circle is $628\mathrm{.}3185307179587$

Area of the circle is $31415\mathrm{.}926535897932$

Perimeter of the resized circle is $565\mathrm{.}4866776461628$

Area of the resized circle is $25446\mathrm{.}900494077327$