What is the eccentricity x^2+9y^2=9 ?

The eccentricity x^2+9y^2=9 is (2sqrt(2))/3

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eccentricity x^2+9y^2=9

eccentricity

\frac{2 2}{3}

Decimal

0.94280 \dots

Solution steps

= \frac{a ^{2} - b ^{2}}{a}

Calculate ellipse properties

x^{2} + 9 y^{2} = 9 :

Ellipse with center

(h, k) = (0, 0), a = 3, b = 1

= \frac{3 ^{2} - 1 ^{2}}{3}

\frac{3 ^{2} - 1 ^{2}}{3} = \frac{2 2}{3}

= \frac{2 2}{3}

What is the eccentricity x^2+9y^2=9 ?
The eccentricity x^2+9y^2=9 is (2sqrt(2))/3