The circle that has a center of \((-3,4)\) and is tangent to the \(y\)-axis is graphed in the standard \((x,y)\) coordinate plane below. What is the area, in square coordinate units, of this circle?

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Since the circle is tangent to the \(y\)-axis, the horizontal distance from the center of the circle to the \(y\)-axis is 3.

$$ A= \pi r^2 $$ $$ A = \pi (3)^2 $$ $$ =\boxed{9\pi} $$