Latus Rectum of Ellipse given Eccentricity and Semi Major Axis Calculator

✖Semi Major Axis of Ellipse is half of the chord passing through both the foci of the Ellipse.ⓘ Semi Major Axis of Ellipse [a]			+10% -10%
✖Eccentricity of Ellipse is the ratio of the linear eccentricity to the semi major axis of the Ellipse.ⓘ Eccentricity of Ellipse [e]			+10% -10%

✖Latus Rectum of Ellipse is the line segment passing through any of the foci and perpendicular to the major axis whose ends are on the Ellipse.ⓘ Latus Rectum of Ellipse given Eccentricity and Semi Major Axis [2l]

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Latus Rectum of Ellipse given Eccentricity and Semi Major Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Latus Rectum of Ellipse = 2*Semi Major Axis of Ellipse*(1-Eccentricity of Ellipse^2)
2l = 2*a*(1-e^2)
This formula uses 3 Variables

Variables Used

Latus Rectum of Ellipse - (Measured in Meter) - Latus Rectum of Ellipse is the line segment passing through any of the foci and perpendicular to the major axis whose ends are on the Ellipse.
Semi Major Axis of Ellipse - (Measured in Meter) - Semi Major Axis of Ellipse is half of the chord passing through both the foci of the Ellipse.
Eccentricity of Ellipse - (Measured in Meter) - Eccentricity of Ellipse is the ratio of the linear eccentricity to the semi major axis of the Ellipse.

STEP 1: Convert Input(s) to Base Unit

Semi Major Axis of Ellipse: 10 Meter --> 10 Meter No Conversion Required
Eccentricity of Ellipse: 0.8 Meter --> 0.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

2l = 2*a*(1-e^2) --> 2*10*(1-0.8^2)

Evaluating ... ...

2l = 7.2

STEP 3: Convert Result to Output's Unit

7.2 Meter --> No Conversion Required

FINAL ANSWER

7.2 Meter <-- Latus Rectum of Ellipse

(Calculation completed in 00.020 seconds)

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< Latus Rectum of Ellipse Calculators

Semi Latus Rectum of Ellipse

LaTeX Go Semi Latus Rectum of Ellipse = (Semi Minor Axis of Ellipse^2)/Semi Major Axis of Ellipse

Latus Rectum of Ellipse

LaTeX Go Latus Rectum of Ellipse = 2*(Semi Minor Axis of Ellipse^2)/(Semi Major Axis of Ellipse)

Latus Rectum of Ellipse given Major and Minor Axes

LaTeX Go Latus Rectum of Ellipse = (Minor Axis of Ellipse)^2/Major Axis of Ellipse

Latus Rectum of Ellipse given Semi Latus Rectum

LaTeX Go Latus Rectum of Ellipse = 2*Semi Latus Rectum of Ellipse

Latus Rectum of Ellipse given Eccentricity and Semi Major Axis Formula

LaTeX Go

Latus Rectum of Ellipse = 2*Semi Major Axis of Ellipse*(1-Eccentricity of Ellipse^2)
2l = 2*a*(1-e^2)

What is an Ellipse?

An Ellipse is basically a conic section. If we cut a right circular cone using a plane at an angle greater than the semi angle of cone. Geometrically an Ellipse is the collection of all points in a plane such that the sum of the distances to them from two fixed points is a constant. Those fixed points are the foci of the Ellipse. The largest chord of the Ellipse is the major axis and the chord which passing through the center and perpendicular to the major axis is the minor axis of the ellipse. Circle is a special case of Ellipse in which both foci coincide at the center and so both major and minor axes become equal in length which is called the diameter of the circle.

How to Calculate Latus Rectum of Ellipse given Eccentricity and Semi Major Axis?

Latus Rectum of Ellipse given Eccentricity and Semi Major Axis calculator uses Latus Rectum of Ellipse = 2*Semi Major Axis of Ellipse*(1-Eccentricity of Ellipse^2) to calculate the Latus Rectum of Ellipse, The Latus Rectum of Ellipse given Eccentricity and Semi Major Axis formula is defined as the line segment passing through any of the foci and perpendicular to the major axis whose ends are on the Ellipse and calculated using the eccentricity and semi-major axis of the Ellipse. Latus Rectum of Ellipse is denoted by 2l symbol.

How to calculate Latus Rectum of Ellipse given Eccentricity and Semi Major Axis using this online calculator? To use this online calculator for Latus Rectum of Ellipse given Eccentricity and Semi Major Axis, enter Semi Major Axis of Ellipse (a) & Eccentricity of Ellipse (e) and hit the calculate button. Here is how the Latus Rectum of Ellipse given Eccentricity and Semi Major Axis calculation can be explained with given input values -> 7.2 = 2*10*(1-0.8^2).

FAQ

What is Latus Rectum of Ellipse given Eccentricity and Semi Major Axis?

The Latus Rectum of Ellipse given Eccentricity and Semi Major Axis formula is defined as the line segment passing through any of the foci and perpendicular to the major axis whose ends are on the Ellipse and calculated using the eccentricity and semi-major axis of the Ellipse and is represented as 2l = 2*a*(1-e^2) or Latus Rectum of Ellipse = 2*Semi Major Axis of Ellipse*(1-Eccentricity of Ellipse^2). Semi Major Axis of Ellipse is half of the chord passing through both the foci of the Ellipse & Eccentricity of Ellipse is the ratio of the linear eccentricity to the semi major axis of the Ellipse.

How to calculate Latus Rectum of Ellipse given Eccentricity and Semi Major Axis?

The Latus Rectum of Ellipse given Eccentricity and Semi Major Axis formula is defined as the line segment passing through any of the foci and perpendicular to the major axis whose ends are on the Ellipse and calculated using the eccentricity and semi-major axis of the Ellipse is calculated using Latus Rectum of Ellipse = 2*Semi Major Axis of Ellipse*(1-Eccentricity of Ellipse^2). To calculate Latus Rectum of Ellipse given Eccentricity and Semi Major Axis, you need Semi Major Axis of Ellipse (a) & Eccentricity of Ellipse (e). With our tool, you need to enter the respective value for Semi Major Axis of Ellipse & Eccentricity of Ellipse and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Latus Rectum of Ellipse?

In this formula, Latus Rectum of Ellipse uses Semi Major Axis of Ellipse & Eccentricity of Ellipse. We can use 3 other way(s) to calculate the same, which is/are as follows -

Latus Rectum of Ellipse = 2*Semi Latus Rectum of Ellipse
Latus Rectum of Ellipse = (Minor Axis of Ellipse)^2/Major Axis of Ellipse
Latus Rectum of Ellipse = 2*(Semi Minor Axis of Ellipse^2)/(Semi Major Axis of Ellipse)

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