Lesson: Equations of Ellipses
In this lesson, we will learn how to find the equation of ellipse-shaped constructions using different givens.
Sample Question Videos
Worksheet: 9 Questions • 1 Video
Find the equation of the ellipse that fits just inside a box that is 8 units high and 4 units wide.
Find the equation of an ellipse in standard position whose width is four times its height. Let the height of the ellipse be .
An arch that is 12 feet high and 40 feet wide is shaped like the top half of an ellipse. Determine the equation of this ellipse and, using it, find the distance from its center to the point where the height of the arch is 6 feet. Give your answer to the nearest hundredth of a foot.