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Latus Rectum of Ellipse given Eccentricity and Semi Minor Axis Formula

GoLatus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis Formula

GoLatus Rectum of Ellipse Formula

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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. Check FAQs

2l = 2 \cdot b \cdot \sqrt{1 - e^{2}}

2l - Latus Rectum of Ellipse?b - Semi Minor Axis of Ellipse?e - Eccentricity of Ellipse?

Latus Rectum of Ellipse given Eccentricity and Semi Minor Axis Example

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

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

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

7.2 = 2 \cdot 6 \cdot \sqrt{1 - {0.8}^{2}}

7.2m = 2 \cdot 6m \cdot \sqrt{1 - {0.8m}^{2}}

7.2 = 2 \cdot 6 \cdot \sqrt{1 - {0.8}^{2}}

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Latus Rectum of Ellipse given Eccentricity and Semi Minor Axis Solution

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

FIRST Step Consider the formula

2l = 2 \cdot b \cdot \sqrt{1 - e^{2}}

Next Step Substitute values of Variables

∴

2l = 2 \cdot 6m \cdot \sqrt{1 - {0.8m}^{2}}

Next Step Prepare to Evaluate

∴

2l = 2 \cdot 6 \cdot \sqrt{1 - {0.8}^{2}}

LAST Step Evaluate

∴

2l = 7.2m

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

Variables

Functions

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 Minor Axis of Ellipse

Semi Minor Axis of Ellipse is half of the length of the longest chord which is perpendicular to the line joining the foci of the Ellipse.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semi Minor Axis of Ellipse

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

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)

Other Formulas to find Latus Rectum of Ellipse

Go Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis

2l = 2 \cdot \frac{b^{2}}{\sqrt{c^{2} + b^{2}}}

Go Latus Rectum of Ellipse

2l = 2 \cdot \frac{b^{2}}{a}

Go Latus Rectum of Ellipse given Major and Minor Axes

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

Other formulas in Latus Rectum of Ellipse category

Go Semi Latus Rectum of Ellipse

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

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

Latus Rectum of Ellipse given Eccentricity and Semi Minor Axis evaluator uses Latus Rectum of Ellipse = 2*Semi Minor Axis of Ellipse*sqrt(1-Eccentricity of Ellipse^2) to evaluate the Latus Rectum of Ellipse, The Latus Rectum of Ellipse given Eccentricity and Semi Minor 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-minor axis of the Ellipse. Latus Rectum of Ellipse is denoted by 2l symbol.

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

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

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

The formula of Latus Rectum of Ellipse given Eccentricity and Semi Minor Axis is expressed as Latus Rectum of Ellipse = 2*Semi Minor Axis of Ellipse*sqrt(1-Eccentricity of Ellipse^2). Here is an example- 7.2 = 2*6*sqrt(1-0.8^2).

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

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

What are the other ways to Calculate Latus Rectum of Ellipse?

Here are the different ways to Calculate Latus Rectum of Ellipse-

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

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

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

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

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

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Latus Rectum of Ellipse given Eccentricity and Semi Minor Axis Formula

​GoLatus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis Formula

​GoLatus Rectum of Ellipse Formula

Latus Rectum of Ellipse given Eccentricity and Semi Minor Axis Example

Latus Rectum of Ellipse given Eccentricity and Semi Minor Axis Solution

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

Other Formulas to find Latus Rectum of Ellipse

Other formulas in Latus Rectum of Ellipse category

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

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

Variable Name

GoLatus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis Formula

GoLatus Rectum of Ellipse Formula