The area (in sq. units) of the region enclosed by the ellipse \(16x^2 + 25y^2 = 400\) is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(20\pi\)
Dividing by 400 gives the standard form of the ellipse:
\( \displaystyle \frac{x^2}{25} + \frac{y^2}{16} = 1 \)
\(a = 5,\quad b = 4\)
The area of an ellipse is \(\pi ab\):
\(\text{Area} = \pi \times 5 \times 4 = 20\pi\)