Suppose that the successive vertices of an n-sided polygon are the points (a1, b1), (a2
Chapter 6, Problem 19(choose chapter or problem)
Suppose that the successive vertices of an n-sided polygon are the points (a1, b1), (a2, b2),...(an, bn), arranged counterclockwise around the polygon. Show that the area inside the polygon is given by 1 2 a1 b1 a2 b2 + a2 b2 a3 b3 ++ an1 bn1 an bn + an bn a1 b1
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