The Ellipse · Exercise 65

Find the area of the ellipse. The area of an ellipse is given by the formula $\text{Area}=a\cdot b\cdot \pi .$

$\frac{{\left(x+6\right)}^2}{16}+\frac{{\left(y-6\right)}^2}{36}=1$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §12.1 The Ellipse · Exercise 65