logo for solving-math-problems.com
leftimage for solving-math-problems.com

Ellipse - Given Eccentricity & Foci - How do I find the Equation?

by Zachary
(CA, USA)











































How do I find the equation of the ellipse with the given information

Comments for Ellipse - Given Eccentricity & Foci - How do I find the Equation?

Click here to add your own comments

May 15, 2012
Ellipse - Given Eccentricity & Major Vertex
by: Staff



Question:

by Zachary
(CA, USA)

How do I find the equation of the ellipse with the given information?


Answer:

Eccentricity: an index of how circular the ellipse is.

e = c/a

c = the distance from the center of the ellipse to a focal point

a = the distance from the center to a vertex along the major axis

a = 6/2 = 3

e = c/a = √(5) / 3

c/3 = √(5) / 3

c = √(5)

c² = a² - b²

[√(5)]² = 3² - b²

b² = 3² - [√(5)]²

b² = 9 - 5

b² = 4

b = ±2




The general equation for the ellipse will look like this:


x²/b² + y²/a² = 1


The specific equation is:

x²/4 + y²/9 = 1



>>> the final answer is:

x²/4 + y²/9 = 1









Thanks for writing.

Staff
www.solving-math-problems.com



Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com