..on measuring area

Below are some regular geometric shapes. Using Green's Theorem, the white areas were measured. This was done by utilizing Scilab's contour follower command (provided by the Sip toolbox library).






Rectangle
obtained area: 18387
analytic area: 18696












Circle
obtained area: 34636
analytic area: 33944












Square
obtained area: 41818
analytic area: 42228









Green's Theorem



For the rectangle, the percent deviation from the analytic area is 1.65%. For the circle it is 1.89%, and 0.97% for the square. These values are well below 5% acceptance threshold. The technique is accurate enough.

I want to give mysef a 10. I was successful in implementing the technique.

Thanks to Rica and Ed for the help with the Sip toolbox.