From this threa Determine the centroid of multiple points I came to know that area of polygon can also be negative if we start in clockwise direction. Why it can be negative?
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It is a product of the maths. You can use the sign if you wish to, or use an absolute value for the area.
You often get a similar effect with dot products and cross products. This can be effective, for example determining the orientation of a polygon in 3d (does the ‘outside’ side of the polygon face towards me or away from me?)