Using Green’s TheoremCalculating Area with Green’s Theorem
Chapter 16, Problem 25E(choose chapter or problem)
Problem 25E
Using Green’s Theorem
Calculating Area with Green’s Theorem If a simple closed curve C in the plane and the region R it encloses satisfy the hypotheses of Green’s Theorem, the area of R is given by
The reason is that by Equation (3), run backward,
Use the Green’s Theorem area formula given above to find the areas of the regions enclosed by the curves in Exercise
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