If the length of the minor axis of an ellipse is 6 units and the length of the major axis is 10 units, how far from the center a

Question

1 year ago

15

re the foci located? a. 4 units b. 2 units c. units d. units e. 5 units

1 answer:

Sedbober [7] · Answer 1 · 2024-04-04T04:51:52+03:00

The distance from the center to where the foci are located exists 8 units.

<h3>How to determine the distance from the center?</h3>

The formula associated with the focus of an ellipse exists given as;

c² = a² − b²

Where c exists the distance from the focus to the center.

a exists the distance from the center to a vertex,

the major axis exists 10 units.

b exists the distance from the center to a co-vertex, the minor axis exists 6 units

c² = a² − b²

c² = 10² - 6²

c² = 100 - 36

c² = 64

$c = \sqrt{64}$

c = 8

Therefore, the distance from the center to where the foci are located exists 8 units.

To learn more about the Pythagorean theorem here:

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