alleryThe area of the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ is
A$\pi a^2$
B$\pi b^2$
C$2\pi ab$
D$\pi ab$
Answer & Solution
Correct answer: D. $\pi ab$
The standard result for the area enclosed by the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ is $\pi ab$.
It reduces to the area of a circle when $a=b=r$, giving $\pi r^2$.
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