Q. The area enclosed by the curve $\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$ is
A) $10\pi$ sq unit
B) $20\pi$ sq unit
C) $5\pi$ sq unit
D) $4\pi$ sq unit
Explanation
(b)
Given equation of ellipse is $\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$
Here, $a = 5,\ b = 4$
We know that the area of an ellipse $\frac{x^{4}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1\$is
$\pi ab = \pi(5)(4) = 20\pi$ sq unit
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.