Semi Latus Rectum of Ellipse Calculator

Calculate Semi Latus Rectum of Ellipse





Formula

The formula to calculate the Semi Latus Rectum of an Ellipse is:

\[ l = \frac{b^2}{a} \]

Definition

The Semi Latus Rectum of an Ellipse is half of 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.

Example Calculation

Let's assume the following values:

Using the formula:

\[ l = \frac{6^2}{10} = 3.6 \text{ Meter} \]

The Semi Latus Rectum of the Ellipse is 3.6 Meter.

Conversion Chart

Semi Minor Axis (Meter) Semi Major Axis (Meter) Semi Latus Rectum (Meter)
5 10 2.500000000000000
5.1 10 2.601000000000000
5.2 10 2.703999999999999
5.3 10 2.808999999999999
5.4 10 2.915999999999999
5.5 10 3.024999999999998
5.6 10 3.135999999999997
5.7 10 3.248999999999997
5.8 10 3.363999999999996
5.9 10 3.480999999999996
6 10 3.599999999999996
6.1 10 3.720999999999995
6.2 10 3.843999999999995
6.3 10 3.968999999999994
6.4 10 4.095999999999994
6.5 10 4.224999999999993
6.6 10 4.355999999999993
6.7 10 4.488999999999992
6.8 10 4.623999999999991
6.9 10 4.760999999999990
7 10 4.899999999999990