Question

If the eccentricity of an ellipse is 0.43 and the length of its major axis is 11 units, how far from the center are the foci located?

Answer 1

17meterers from the center foval point

Answer 2

Answer:

2.365 unit far away the center are the foci located.      

Step-by-step explanation:

Given : If the eccentricity of an ellipse is 0.43 and the length of its major axis is 11 units.

To find : How far from the center are the foci located?

Solution :

The eccentricity of an ellipse is defined as

$e=\frac{c}{a}$

Where, e is the eccentricity

c is the distance from center to focus

a is the distance between focus to vertex.

We have given,

Eccentricity of an ellipse is 0.43 i.e. e=0.43

The distance between focus to vertex is the half of the length of its major axis.

i.e. $a=\frac{11}{2}$

Substitute in the formula,

$0.43=\frac{c}{\frac{11}{2}}$

$c=0.43\times \frac{11}{2}$

$c=2.365$

Therefore, 2.365 unit far away the center are the foci located.