Ellipses Answers to Question 1-6
1.
Because is an axis of symmetry.
Thus,
.
In summary we can say that the length of the major axis.
2.
Recalling that and cm
We can conclude that and.
Thus they are each equal to 5.695 cm.
3. Recall that 5.695 cm and 4.27 cm.
Using the Pythagorean Theorem
. Plugging in values and solving for, is approximately 3.767305.
4.
Recall that,
Thus
This is commonly written as where.
a = half the length of the major axis and b = half the length of the minor axis.
and the foci are located approximately 3.768 cm right of the center of the ellipse and 3.768 cm left of the center of the ellipse.