What is the eccentricity (x^2)/(81)+(y^2)/(64)=1 ?

The eccentricity (x^2)/(81)+(y^2)/(64)=1 is (sqrt(17))/9

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eccentricity (x^2)/(81)+(y^2)/(64)=1

eccentricity

\frac{17}{9}

Decimal

0.45812 \dots

Solution steps

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

Calculate ellipse properties

\frac{x ^{2}}{81} + \frac{y ^{2}}{64} = 1 :

Ellipse with center

(h, k) = (0, 0), a = 9, b = 8

= \frac{9 ^{2} - 8 ^{2}}{9}

\frac{9 ^{2} - 8 ^{2}}{9} = \frac{17}{9}

= \frac{17}{9}

What is the eccentricity (x^2)/(81)+(y^2)/(64)=1 ?
The eccentricity (x^2)/(81)+(y^2)/(64)=1 is (sqrt(17))/9