Find the eccentricity of the ellipse. $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 81 } = 1$

Question

Find the eccentricity of the ellipse.​ $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 81 } = 1$ ​

Quizplus · Accepted Answer

The eccentricity of an ellipse is given by the equation e = c/a, where c is the distance from the center to the focus and a is the distance from the center to a vertex. From the given diagram, we can see that the horizontal distance from the center to a vertex is 5 units, and the horizontal distance from the center to the focus is 4 units. Therefore, a = 5 and c = 4, so e = c/a = 4/5. The correct choice for the eccentricity is B, which is equal to 11ea99db_b848_d5b5_94ac_3599b20a91d8_TB4590_11.

Find the Eccentricity of the Ellipse x264+y281=1\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 81 } = 164x2​+81y2​=1

Find the Eccentricity of the Ellipse $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 81 } = 1$