How do I find the foci of an ellipse?

Question

It is circumscribed in a 53072 meter X 65873 meter rectangle.

Answer 1

A focus of an ellipse with semi-axes a > b lies at a distance sqrt(a^2 - b^2) from the center.
I think you meant the ellipse was *inscribed* in the rectangle. Then your Q is answered because you know both a and b.

Answer 2

let a = 65873/2
and b = 53072/2
with the center of the inscribed ellipse at the center of the rectangle.
Then the foci are along the long axis at ± √(a^2 - b^2)

With a circumscribed ellipse the problem gets a little hairier. In fact, it has myriads of possibilities.

Answer 3

atleast read a text book dear. Not all but first 4-5 pages of a chapter, you will find solved questions there.

Answer 4

i just know that two foci are possible for an ellipse.
calculate it urself or with the help by the formula provided above .

Answer 5

http://www.du.edu/~jcalvert/math/ellipse.htm

Here is something all about ellipses.