The formula to calculate the Latus Rectum of an Ellipse is:
\[ 2l = 2 \left(\frac{b^2}{a}\right) \]
The Latus Rectum of an Ellipse is the line segment passing through any of the foci and perpendicular to the major axis whose ends are on the ellipse. The Semi Minor Axis of an Ellipse is half of the length of the longest chord which is perpendicular to the line joining the foci of the ellipse. The Semi Major Axis of an Ellipse is half of the chord passing through both the foci of the ellipse.
Let's assume the following values:
Using the formula:
\[ 2l = 2 \left(\frac{6^2}{10}\right) = 7.2 \]
The Latus Rectum of the Ellipse is 7.2 meters.
| Semi Minor Axis (meters) | Semi Major Axis (meters) | Latus Rectum (meters) |
|---|---|---|
| 5 | 10 | 5.000000000000000 |
| 5.5 | 10 | 6.050000000000000 |
| 6 | 10 | 7.200000000000000 |
| 6.5 | 10 | 8.449999999999999 |
| 7 | 10 | 9.800000000000001 |