Calculating surface using Lambert correction?

[المشرف العام]

i'm using lambert conformal conic , so we have distortions along any given parallel , i would like to get the area used to solve this distortion.

I have calculated the area using Shoelace formula , surprisingly it gave me the same area exactly as the area calculated by Arcgis, that means that Arcgis don't calculate Lambert Correction, this correction is necessary to correct distortions.

Please correct me, if this is wrong.

i would like to calculate the surface using Lambert correction, if you can help me to find the formula of Lambert Correction?

i'm using Arcgis 10.1 , i would like to solve the problem using ArcPy.



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