What is Pick's Formula used to calculate?

Pick's Theorem provides a formula to calculate the area (A) of a simple lattice polygon, which is a polygon whose vertices are points on a grid of dots, or "lattice points." The formula is expressed as (A = I + \frac{B}{2} - 1), where (I) represents the number of interior lattice points within the polygon, and (B) represents the number of lattice points that lie on the boundary of the polygon.

The significance of this formula lies in its ability to relate the total area of the polygon to the points it contains, which highlights the geometric and spatial relationships between area and the positions of specific points. It is particularly useful for calculating the area of polygons that can be a bit cumbersome to compute using standard geometric formulas.

Using Pick's Theorem allows you to compute the area with information that is often easier to ascertain, particularly in a classroom setting where students can visually count points. Hence, choice B accurately reflects the correct representation of Pick's Formula and is therefore the right answer.