Answer: 9pi (choice B)
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Work Shown:
C = 2*pi*r .... circumference equation
6pi = 2pi*r .... replace C with the given circle perimeter
6 = 2r .... divide both sides by pi, they cancel
6/2 = r
3 = r
r = 3 ... is the radius
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A = pi*r^2 .... area of circle equation
A = pi*3^2
A = pi*9
A = 9pi .... which points to choice B as the final answer