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Eccentricity of Ellipse given Latus Rectum and Semi Major Axis Formula

GoEccentricity of Ellipse Formula

GoEccentricity of Ellipse given Linear Eccentricity and Semi Minor Axis Formula

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Eccentricity of Ellipse is the ratio of the linear eccentricity to the semi major axis of the Ellipse. Check FAQs

e = \sqrt{1 - (\frac{2l}{2 \cdot a})}

e - Eccentricity of Ellipse?2l - Latus Rectum of Ellipse?a - Semi Major Axis of Ellipse?

Eccentricity of Ellipse given Latus Rectum and Semi Major Axis Example

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Here is how the Eccentricity of Ellipse given Latus Rectum and Semi Major Axis equation looks like with Values.

Here is how the Eccentricity of Ellipse given Latus Rectum and Semi Major Axis equation looks like with Units.

Here is how the Eccentricity of Ellipse given Latus Rectum and Semi Major Axis equation looks like.

0.8062 = \sqrt{1 - (\frac{7}{2 \cdot 10})}

0.8062m = \sqrt{1 - (\frac{7m}{2 \cdot 10m})}

0.8062 = \sqrt{1 - (\frac{7}{2 \cdot 10})}

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Eccentricity of Ellipse given Latus Rectum and Semi Major Axis Solution

Follow our step by step solution on how to calculate Eccentricity of Ellipse given Latus Rectum and Semi Major Axis?

FIRST Step Consider the formula

e = \sqrt{1 - (\frac{2l}{2 \cdot a})}

Next Step Substitute values of Variables

∴

e = \sqrt{1 - (\frac{7m}{2 \cdot 10m})}

Next Step Prepare to Evaluate

∴

e = \sqrt{1 - (\frac{7}{2 \cdot 10})}

Next Step Evaluate

∴

e = 0.806225774829855m

LAST Step Rounding Answer

∴

e = 0.8062m

Eccentricity of Ellipse given Latus Rectum and Semi Major Axis Formula Elements

Variables

Functions

Eccentricity of Ellipse

Eccentricity of Ellipse is the ratio of the linear eccentricity to the semi major axis of the Ellipse.

Symbol: e

Measurement: LengthUnit: m

Note: Value should be between 0 to 1.

Formulas to find Eccentricity of Ellipse

Latus Rectum of Ellipse

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.

Symbol: 2l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Latus Rectum of Ellipse

Semi Major Axis of Ellipse

Semi Major Axis of Ellipse is half of the chord passing through both the foci of the Ellipse.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semi Major Axis of Ellipse

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Credits

Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has created this Formula and 1100+ more formulas!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Formula and 1500+ more formulas!

Other Formulas to find Eccentricity of Ellipse

Go Eccentricity of Ellipse

e = \sqrt{1 - {(\frac{b}{a})}^{2}}

Go Eccentricity of Ellipse given Linear Eccentricity and Semi Minor Axis

e = \frac{c}{\sqrt{b^{2} + c^{2}}}

Go Eccentricity of Ellipse given Linear Eccentricity and Semi Major Axis

e = \frac{c}{a}

Go Eccentricity of Ellipse given Area and Semi Major Axis

e = \sqrt{1 - {(\frac{A}{π \cdot a^{2}})}^{2}}

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

Eccentricity of Ellipse given Latus Rectum and Semi Major Axis evaluator uses Eccentricity of Ellipse = sqrt(1-(Latus Rectum of Ellipse/(2*Semi Major Axis of Ellipse))) to evaluate the Eccentricity of Ellipse, The Eccentricity of Ellipse given Latus Rectum and Semi Major Axis formula is defined as the ratio of the linear eccentricity to the semi-major axis of the Ellipse and calculated using the latus rectum and semi-major axis of the Ellipse. Eccentricity of Ellipse is denoted by e symbol.

How to evaluate Eccentricity of Ellipse given Latus Rectum and Semi Major Axis using this online evaluator? To use this online evaluator for Eccentricity of Ellipse given Latus Rectum and Semi Major Axis, enter Latus Rectum of Ellipse (2l) & Semi Major Axis of Ellipse (a) and hit the calculate button.

FAQs on Eccentricity of Ellipse given Latus Rectum and Semi Major Axis

What is the formula to find Eccentricity of Ellipse given Latus Rectum and Semi Major Axis?

The formula of Eccentricity of Ellipse given Latus Rectum and Semi Major Axis is expressed as Eccentricity of Ellipse = sqrt(1-(Latus Rectum of Ellipse/(2*Semi Major Axis of Ellipse))). Here is an example- 0.806226 = sqrt(1-(7/(2*10))).

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

With Latus Rectum of Ellipse (2l) & Semi Major Axis of Ellipse (a) we can find Eccentricity of Ellipse given Latus Rectum and Semi Major Axis using the formula - Eccentricity of Ellipse = sqrt(1-(Latus Rectum of Ellipse/(2*Semi Major Axis of Ellipse))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Eccentricity of Ellipse?

Here are the different ways to Calculate Eccentricity of Ellipse-

Eccentricity of Ellipse=sqrt(1-(Semi Minor Axis of Ellipse/Semi Major Axis of Ellipse)^2)
Eccentricity of Ellipse=Linear Eccentricity of Ellipse/sqrt(Semi Minor Axis of Ellipse^2+Linear Eccentricity of Ellipse^2)
Eccentricity of Ellipse=Linear Eccentricity of Ellipse/Semi Major Axis of Ellipse

Can the Eccentricity of Ellipse given Latus Rectum and Semi Major Axis be negative?

No, the Eccentricity of Ellipse given Latus Rectum and Semi Major Axis, measured in Length cannot be negative.

Which unit is used to measure Eccentricity of Ellipse given Latus Rectum and Semi Major Axis?

Eccentricity of Ellipse given Latus Rectum and Semi Major Axis is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Eccentricity of Ellipse given Latus Rectum and Semi Major Axis can be measured.

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Eccentricity of Ellipse given Latus Rectum and Semi Major Axis Formula

​GoEccentricity of Ellipse Formula

​GoEccentricity of Ellipse given Linear Eccentricity and Semi Minor Axis Formula

Eccentricity of Ellipse given Latus Rectum and Semi Major Axis Example

Eccentricity of Ellipse given Latus Rectum and Semi Major Axis Solution

Eccentricity of Ellipse given Latus Rectum and Semi Major Axis Formula Elements

Credits

Other Formulas to find Eccentricity of Ellipse

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

FAQs on Eccentricity of Ellipse given Latus Rectum and Semi Major Axis

Variable Name

GoEccentricity of Ellipse Formula

GoEccentricity of Ellipse given Linear Eccentricity and Semi Minor Axis Formula