Question

Can someone help me find the equation of an ellipse? Measurements and picture below

Answer 1

what do you know about the general setup?

Answer 2

I am just completely clueless with ellipses

Answer 3

youll need to at least know the general setup for an ellipse ... it should be in your material or online search

Answer 4

and the picture we can cull the information to fill it in with

Answer 5

This is the ellipse I found, I used the one going up and down http://prntscr.com/6nikzx

Answer 6

and the measurements I got 3 7/8 inches top to bottom, and 1 1/2 inches side to side

Answer 7

lol, you sure this isnt an advertisement for ... what is that a saturn?

Answer 8

lol

Answer 9

I had to find an ellipse in real life and remembered my dad's truck haha

Answer 10

we are going to center this at the origin to make the general formula simpler to build

Answer 11

Okay, I found the equation, \(\dfrac{(x-h)^2}{b^2}+\dfrac{(y-k)^2}{a^2}=1\)

Answer 12

a^2 under x and b^2 under y

a relates to left right measures, b relates to the up down measures

Answer 13

oh whoops

Answer 14

and it is a Toyota :P

Answer 15

h,k is the center point, we choose the origin 0,0 to make life pretty

\[E_1:=~\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\]
and ive already shown how to determine a and b

Answer 16

a would be .75 and b would be 1.9375

Answer 17

2a = 1 1/2 inches side to side
2b = 3 7/8 inches top to bottom

yeah, those sound fine to me

Answer 18

You make this seem so simple...

Answer 19

i know where the stepping stones are placed :)

Answer 20

:)

Answer 21

So the final equation would be \(\dfrac{x^2}{.5625} + \dfrac{y^2}{3.75390625}=1\)

Answer 22

ill trust you squared a and b, and yeah, thats good

Answer 23

yay! thanks :)

Answer 24

might want to use the same nuber of decies to make it prettier but math dont care about that sort of stuff, only executives

Answer 25

okay haha