MathCastle
Multivariable CalculusEasyVector Calculus

Vector Calculus · Easy problem

Compute the circulation ∮CF⋅dr\displaystyle\oint_C \mathbf F\cdot d\mathbf r of F=(−y,  x)\mathbf F = (-y,\; x) around the circle x2+y2=9x^2 + y^2 = 9, traversed once counterclockwise. Give your answer in terms of π\pi.