Area of a Circle from Equation

In the coordinate plane, a circle is defined by the equation $$ (x - 4)^2 + (y + 2)^2 = 36 $$.

What is the area of this circle?

To find the area of the circle, recall that the area $$ A $$ of a circle is calculated using the formula:

$$ A = ext{π} r^2 $$

where $$ r $$ is the radius of the circle.