Pick's Theorem -- Page 13

So B/2 + I is one more than the area in each of our examples. Thus to get the area we need to subtract 1 from B/2 + I. Thus we acheive our formula, known as Picks Theorem.

A = B/2 + I - 1

where A is the area of the dot figure, B is the number of boundary dots and I is the number of interior dots.

Now try Pick's Theorem on the dot figure given earlier:

Find the number B of boundary dots the figure above:
 18
 20
 22
 24

Find the number I of interior dots in the figure above:

 9
 11
 15
 20

Finally, use the formula B/2 + I - 1 to find the area J

 19
 19.5
 21
 23
CONTINUE