(Area of a polygon) Revise Programming Exercise to prompt the user to enter the number of...

(Area of a polygon) Revise Programming Exercise to prompt the user to enter the number of points in a convex polygon, then enter the points clockwise, and display the area of the polygon. Here is a sample run of the program:

Programming Exercise (Area of a polygon) Write a program that prompts the user to enter the points of a convex polygon and display its area. Assume that the polygon has six end points and the points are entered clockwise. For the definition of a convex polygon, see www.mathopenref.com/polygonconvex.html. Hint : The total area of a polygon is the sum of the areas of the small triangles as shown in Figure.

FIGURE A convex polygon can be divided into small nonoverlapping triangles.

Here is a sample run of the program: