The ellipse x^2/a^2 + y^2/9 = 1, a > 0, encloses an area of 12π. What is a?

Area of Bounded Regions · Question 100 of 115

Question 100

MediumOriginal question

The ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{9} = 1$ , $a > 0$ , encloses an area of $12\pi$ . What is $a$ ?

\frac{4}{3}

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2 \sqrt{3}

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4

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16

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Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

$\frac{4}{3}$ takes $b = 9$ , the denominator, instead of its square root.

Ten questions from Area of Bounded Regions, at your own pace.

Ten questions from Area of Bounded Regions, at your own pace.