Semi Major Axis of Ellipse given Latus Rectum and Eccentricity Calculator

✖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 [2l]			+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%

✖Semi Major Axis of Ellipse is half of the chord passing through both the foci of the Ellipse.ⓘ Semi Major Axis of Ellipse given Latus Rectum and Eccentricity [a]

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Semi Major Axis of Ellipse given Latus Rectum and Eccentricity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Latus Rectum of Ellipse: 7 Meter --> 7 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

a = 2l/(2*(1-e^2)) --> 7/(2*(1-0.8^2))

Evaluating ... ...

a = 9.72222222222222

STEP 3: Convert Result to Output's Unit

9.72222222222222 Meter --> No Conversion Required

FINAL ANSWER

9.72222222222222 ≈ 9.722222 Meter <-- Semi Major Axis of Ellipse

(Calculation completed in 00.004 seconds)

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< Major Axis of Ellipse Calculators

Semi Major Axis of Ellipse given Linear Eccentricity and Semi Minor Axis

LaTeX Go Semi Major Axis of Ellipse = sqrt(Semi Minor Axis of Ellipse^2+Linear Eccentricity of Ellipse^2)

Semi Major Axis of Ellipse given Area and Semi Minor Axis

LaTeX Go Semi Major Axis of Ellipse = Area of Ellipse/(pi*Semi Minor Axis of Ellipse)

Major Axis of Ellipse given Area and Minor Axis

LaTeX Go Major Axis of Ellipse = (4*Area of Ellipse)/(pi*Minor Axis of Ellipse)

Major Axis of Ellipse

LaTeX Go Major Axis of Ellipse = 2*Semi Major Axis of Ellipse

Semi Major Axis of Ellipse given Latus Rectum and Eccentricity Formula

LaTeX Go

Semi Major Axis of Ellipse = Latus Rectum of Ellipse/(2*(1-Eccentricity of Ellipse^2))
a = 2l/(2*(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 Semi Major Axis of Ellipse given Latus Rectum and Eccentricity?

Semi Major Axis of Ellipse given Latus Rectum and Eccentricity calculator uses Semi Major Axis of Ellipse = Latus Rectum of Ellipse/(2*(1-Eccentricity of Ellipse^2)) to calculate the Semi Major Axis of Ellipse, The Semi Major Axis of Ellipse given Latus Rectum and Eccentricity formula is defined as half of the length of the chord which passes through both foci of the Ellipse and is calculated using the latus rectum and eccentricity of the Ellipse. Semi Major Axis of Ellipse is denoted by a symbol.

How to calculate Semi Major Axis of Ellipse given Latus Rectum and Eccentricity using this online calculator? To use this online calculator for Semi Major Axis of Ellipse given Latus Rectum and Eccentricity, enter Latus Rectum of Ellipse (2l) & Eccentricity of Ellipse (e) and hit the calculate button. Here is how the Semi Major Axis of Ellipse given Latus Rectum and Eccentricity calculation can be explained with given input values -> 9.722222 = 7/(2*(1-0.8^2)).

FAQ

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

The Semi Major Axis of Ellipse given Latus Rectum and Eccentricity formula is defined as half of the length of the chord which passes through both foci of the Ellipse and is calculated using the latus rectum and eccentricity of the Ellipse and is represented as a = 2l/(2*(1-e^2)) or Semi Major Axis of Ellipse = Latus Rectum of Ellipse/(2*(1-Eccentricity of Ellipse^2)). 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 & Eccentricity of Ellipse is the ratio of the linear eccentricity to the semi major axis of the Ellipse.

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

The Semi Major Axis of Ellipse given Latus Rectum and Eccentricity formula is defined as half of the length of the chord which passes through both foci of the Ellipse and is calculated using the latus rectum and eccentricity of the Ellipse is calculated using Semi Major Axis of Ellipse = Latus Rectum of Ellipse/(2*(1-Eccentricity of Ellipse^2)). To calculate Semi Major Axis of Ellipse given Latus Rectum and Eccentricity, you need Latus Rectum of Ellipse (2l) & Eccentricity of Ellipse (e). With our tool, you need to enter the respective value for Latus Rectum 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 Semi Major Axis of Ellipse?

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

Semi Major Axis of Ellipse = sqrt(Semi Minor Axis of Ellipse^2+Linear Eccentricity of Ellipse^2)
Semi Major Axis of Ellipse = Area of Ellipse/(pi*Semi Minor Axis of Ellipse)
Semi Major Axis of Ellipse = Major Axis of Ellipse/2

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