An elliptical riding path is to be built on a rectangular piece of property as shown below.
(picture in comments)
The rectangular piece of property measures 8 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.

Question

An elliptical riding path is to be built on a rectangular piece of property as shown below.
(picture in comments)
The rectangular piece of property measures 8 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.

sleepyjess · Answer

@e.mccormick

sleepyjess · Answer

@ganeshie8

jamierox4ev3r · Answer

@Luigi0210  you know stuff, don't you?

sleepyjess · Answer

whoops forgot to put the picture

sleepyjess · Answer

http://prntscr.com/6epmmp

luigi0210 · Answer

Is this conics?

sleepyjess · Answer

Ellipses

luigi0210 · Answer

Do you know the general form/equation of an ellipse?

sleepyjess · Answer

$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$ or $\dfrac{(x-h)^2}{b^2}+\dfrac{(y-k)^2}{a^2}=1$

luigi0210 · Answer

Right, now I'm assuming the center of the ellipse will be (0,0) right? So you already know what (h,k) will be.

sleepyjess · Answer

The major axis would be vertical right?

luigi0210 · Answer

The major axis has the longest diameter so in this case yes it would be :)

sleepyjess · Answer

So it would be $\dfrac{x^2}{36}+\dfrac{y^2}{64}$=1\)?

luigi0210 · Answer

Yes :)

But it's best to leave them as squared, unless they told ya to simplify it? :P

sleepyjess · Answer

That was all they said, but on the other questions for the options, they squared the denominator :)

sleepyjess · Answer

Thanks! :D

luigi0210 · Answer

Alrighty, and no problem, good luck Jess :3

sleepyjess · Answer

You iz smart