Please answer the question posted and give full explanation of the answer. Please past the successful program run as well.

Please ensure to write two separate programs for Geometry.java and Geometrytest.java. 

Please remember to put your name and date of program completion in a comment at the top of your .java files.

Design a Geometry class (Geometry.java) with the following methods:

• A static method that accepts the radius of a circle and returns the area of the circle.

Use the following formula:

Area = πr²

Use Math.PI for π and the radius of the circle for r.

• A static method that accepts the length and width of a rectangle and returns the area of the rectangle. Use the following formula:

Area = Length x Width

• A static method that accepts the length of a triangle’s base and the triangle’s height.

The method should return the area of the triangle. Use the following formula:

Area = Base x Height x 0.5

The methods should display an error message if negative values are used for the circle’s radius, the rectangle’s length or width, or the triangle’s base or height.

Write a program (Geometrytest.java) to test the class, which displays the following menu and responds to the user’s selection:

Geometry Calculator

1. Calculate the Area of a Circle
2. Calculate the Area of a Rectangle
3. Calculate the Area of a Triangle
4. Quit

Enter your choice (1-4):

Display an error message if the user enters a number outside the range of 1 through 4 when selecting an item from the menu. You are welcome to get user input for items #1-3 if desired, or you can use pre-set values to test. Display the calculated values returned from Geometry.java.