Area strikes again

Geometry Level pending

To the nearest 3 decimal places, find the area enclosed by the curve x 2 9 + y 2 16 = 1 \frac{x^2}{9}+\frac{y^2}{16}=1

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The answer is 37.699.

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1 solution

Hassan Abdulla
Dec 27, 2017

( x 3 ) 2 + ( y 4 ) 2 = 1 \left( \frac { x }{ 3 } \right) ^{ 2 }+\left( \frac { y }{ 4 } \right) ^{ 2 }=1 is an ellipse

so the Area is π × 3 × 4 \pi \times 3 \times 4 = 12 π 37.699 12 \pi \approx \quad 37.699

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