Which value is used in Pick's Formula to represent the boundary points?

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In Pick's Formula, the value that represents the boundary points is indeed denoted by the letter B. Pick's Theorem provides a relationship between the area of a lattice polygon and the number of interior points (I) and boundary points (B) that lie on the lattice points of the polygon. The formula is given by:

Area = I + (B/2) - 1.

In this formula, B stands for the number of integer lattice points that lie on the boundary of the polygon. Understanding this is critical for accurately applying Pick's Theorem, as it differentiates between the interior points and those that make up the perimeter of the shape.

In contrast, the other letters refer to different elements: I represents the number of interior points, A, which might be mistaken for area but is not a part of Pick's formula, and C is not applicable in this context. Thus, recognizing that B specifically denotes boundary points is essential for the proper usage of Pick's Theorem in geometric contexts involving lattice points.

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