SOLUTION: Write a mathematical expression that describesthe relationship between the length of the semi major axis, the length of the semi minor axis, and the focal radius.
Algebra.Com
Question 605579: Write a mathematical expression that describesthe relationship between the length of the semi major axis, the length of the semi minor axis, and the focal radius.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
It depends on your definition of focal radius. Some authors use the distance from a focus to the curve as their definition of focal radius. Others use the distance from the center of the conic to either focus as the focal radius. In the later case, your desired relationship is:
Where 
is the measure of the focal radius, 
is the measure of the semi-major axis, and 
is the measure of the semi-minor axis.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
The center is the origin, 1/2=c/a, and the length of the horizontal semi-major axis is 10 (answered by lwsshak3)
Find the distance between the foci of an ellipse that has a major axis of length 20 and a (answered by ewatrrr)
Write an equation of an ellipse that had a center of (0,0), horizontal major axis of... (answered by Alan3354)
The semi-major axis has length 2root13 units, and the foci are at (-1,1) and (-1,-5).... (answered by lwsshak3)
find the equation of an ellipse centered at (5, -4) whose semi major axis length in the x (answered by josgarithmetic)
The semi-major axis has length 4 units and foci are at (2,3) and... (answered by solver91311)
Write the equation for the ellipse whose center is the origin, with a vertical minor axis (answered by ewatrrr)
Write an equation of a ellipse with the given characteristics.
Center (0,0), vertical... (answered by lynnlo)
Write the equation of an ellipse with foci at (-6,-3) (0,-1) and a major axis of length... (answered by ikleyn)
