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Summary of Different Area Calculation Methods


Area Calculation Comparison Table

Methods

Formula

Advantages

Disadvantages

Trapezoidal method Formula for triangle = ½ * Base * HeightArea of trapezoid = ½ * a * (b1 + b2) / 2 Mathematically correct as all the calculations are done with pure triangle area and trapezoid methodDirect and involves less calculation Difficult as it involves finding intersection point
Nett Area method Area of Trapezoid(½ * a * (b1 + b2) / 2 Depends upon only one formula trapezoid and hence it is simple compared to Trapezoidal methodMathematically correct as all the calculations are done with pure trapezoid method Difficult as it involves finding intersection pointInvolves more calculations compared to Trapezoidal method
Simpsons 1/3 rd rule Area = Interval/3 * [First value+ Last Value+4(Sum of odd n of y)+2(sum of even n of y)] Produces more accurate results, as instead of connecting 2 adjacent points merely by a straight line, a parabola is chosenInvolves less calculation Not practically usable as it expects the data to follow the rules below:
  1. Number of intervals must be an even number
  2. A minimum of 3 points are required
  3. Intervals are expected to be equal
In case of even number of levels, for the last segment, a different calculation method needs to be adopted
 
Section - Simpsons 1/3rd Rule   Volume Calculation for Areas found using Section Method