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

2.365 unit far away the center are the foci located.

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=(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=(11)/(2)`

Substitute in the formula,

`0.43=(c)/((11)/(2))`

`c=0.43* (11)/(2)`

`c=2.365`

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