java programming

Question 6 (20 points) Write a program to approximate the area under a circle with radius r. Note that you should forget the existence of the well known formula area = r2.

Method: The equation of a circles with radius r, centered at origin is x2 + y2 = r2. Divide the area under the top of half (above x axis) in to small rectangles of width of your choice smaller the better and you should pass this as a parameter to your method and add these areas of all these rectangles to approximate the area of the upper half of the circle. Multiplying that value by 2 give the approximate area of the circle.

You must test your results with known radius values (Say, if you set your radius to 1. Then you should see the as the answer for the area).