How far apart are the foci of an ellipse with a major axis of 26 feet and a minor axis of 24 feet?

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asked Jun 14, 2019 90.2k views

2 Answers

Sarvesh Yadav · Answer 1 · 2019-06-19T03:20:49+0000

Let the major axis = 2a , and the minor axis = 2b
∴ a = 26/2 = 13 and b = 24/2 = 12
and the equation of foci:
c² = a² - b²
= 13² - 12² = 169 - 144 = 25
∴ c = √25 = 5

∴ The distance between the foci = 2 * 5 = 10

How far apart are the foci of an ellipse with a major axis of 26 feet and a minor axis of 24 feet?

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