Surveying & Geomatics

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Area by Simpson's Rule

Area under an irregular boundary using parabolic strips.

Formula

A = \frac{h}{3}(y_0 + 4\Sigma_{odd} + 2\Sigma_{even} + y_n)

Variables

AArea

hStrip width

y_iOffset ordinates

Example

Weighted sum of offsets × h/3 gives the plot area

Did You Know?

Simpson's rule needs an even number of strips and is more accurate than the trapezoidal method.

surveying area simpson

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