Latus Rectum of Ellipse given Major and Minor Axes Calculator

Calculate Latus Rectum of Ellipse





Formula

The formula to calculate the Latus Rectum of an Ellipse given the Major and Minor Axes is:

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

Definition

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 Minor Axis of an Ellipse is the length of the longest chord which is perpendicular to the line joining the foci of the Ellipse. The Major Axis of an Ellipse is the length of the chord passing through both foci of the Ellipse.

Example Calculation

Let's assume the following values:

Using the formula:

\[ 2l = \frac{(12)^2}{20} = 7.2 \text{ Meter} \]

The Latus Rectum of the Ellipse is 7.2 Meter.

Conversion Chart

Minor Axis (Meter) Major Axis (Meter) Latus Rectum (Meter)
11 20 6.050000000000000
11.1 20 6.160500000000000
11.2 20 6.271999999999999
11.3 20 6.384499999999998
11.4 20 6.497999999999999
11.5 20 6.612499999999999
11.6 20 6.727999999999997
11.7 20 6.844499999999996
11.8 20 6.961999999999996
11.9 20 7.080499999999996
12 20 7.199999999999996
12.1 20 7.320499999999996
12.2 20 7.441999999999995
12.3 20 7.564499999999994
12.4 20 7.687999999999994
12.5 20 7.812499999999993
12.6 20 7.937999999999993
12.7 20 8.064499999999992
12.8 20 8.191999999999991
12.9 20 8.320499999999992
13 20 8.449999999999992