The rectangular piece of property measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.

Question

anonymous · Answer

attachment

anonymous · Answer

If you're looking for the area of the ellipse: A=πab

You can set x for 1 side of the plot and y for the adjacent side

A= π(x/2)(y/2)

anonymous · Answer

A= π(x/2)(y/2)

I'm just going to set
x = 4
y = 10

A = π(2)(5)
= π10
= 31.42 mi^2

anonymous · Answer

this is what i put --->

standard for for horizontal major axis:
 * (x-h)^2 / a^2 + (y-k)^2 / b^2 = 1 

center = (0,0)

length of horizontal major axis: 10 = 2a
a = 5
a^2 = 25

length of minor axis:  4 = 2b
b = 2
b^2 = 4

equation:
* x^2 / 25 + y^2 / 4 = 1

anonymous · Answer

@porkbuns

anonymous · Answer

Ah...completely misunderstood the question. Gimme a sec with the correct equation 
(x2/A2) + (y2/B2) = 1

anonymous · Answer

okay

anonymous · Answer

What you did looks right to me.  Sorry for the hold up

anonymous · Answer

its okay, thank you so much for your help though :-)