Question

Which one of the following methods estimates best the area of an irregular and curved boundary ?

• A. Trapezoidal method
• B. Simpson's method
• C. Average Ordinate method
• D. Mid-Ordinate method

Answer 1

The correct option is B Simpson's method

Mid-ordinate and Average ordinate methods are used with the assuptions that the boundaries between the extremities of the ordinates are straight lines.
Trapezoidal method is based on the assumptions that the figures are trapezoids. the method is more accurate tthan the above two methods.
Simpon's method assumes that the short lengths of the boundaries between the ordinates are parabolic arcs. This method is more useful when the boundary line departs considerably from the straight line. The results obtained by use of simpson's method in all cases are more accurate.