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Semi Major Axis of Ellipse given Latus Rectum and Eccentricity Formula

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

GoSemi Major Axis of Ellipse given Area and Semi Minor Axis Formula

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

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

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

Semi Major Axis of Ellipse given Latus Rectum and Eccentricity Example

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

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

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

9.7222 = \frac{7}{2 \cdot (1 - {0.8}^{2})}

9.7222m = \frac{7m}{2 \cdot (1 - {0.8m}^{2})}

9.7222 = \frac{7}{2 \cdot (1 - {0.8}^{2})}

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Semi Major Axis of Ellipse given Latus Rectum and Eccentricity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = \frac{7m}{2 \cdot (1 - {0.8m}^{2})}

Next Step Prepare to Evaluate

∴

a = \frac{7}{2 \cdot (1 - {0.8}^{2})}

Next Step Evaluate

∴

a = 9.72222222222222m

LAST Step Rounding Answer

∴

a = 9.7222m

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

Variables

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

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

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

Other Formulas to find Semi Major Axis of Ellipse

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

a = \sqrt{b^{2} + c^{2}}

Go Semi Major Axis of Ellipse given Area and Semi Minor Axis

a = \frac{A}{π \cdot b}

Go Semi Major Axis of Ellipse

a = \frac{2a}{2}

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

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

Other formulas in Major Axis of Ellipse category

Go Major Axis of Ellipse

2a = 2 \cdot a

Go Major Axis of Ellipse given Area and Minor Axis

2a = \frac{4 \cdot A}{π \cdot 2b}

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

Semi Major Axis of Ellipse given Latus Rectum and Eccentricity evaluator uses Semi Major Axis of Ellipse = Latus Rectum of Ellipse/(2*(1-Eccentricity of Ellipse^2)) to evaluate 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 evaluate Semi Major Axis of Ellipse given Latus Rectum and Eccentricity using this online evaluator? To use this online evaluator 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.

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

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

The formula of Semi Major Axis of Ellipse given Latus Rectum and Eccentricity is expressed as Semi Major Axis of Ellipse = Latus Rectum of Ellipse/(2*(1-Eccentricity of Ellipse^2)). Here is an example- 9.722222 = 7/(2*(1-0.8^2)).

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

With Latus Rectum of Ellipse (2l) & Eccentricity of Ellipse (e) we can find Semi Major Axis of Ellipse given Latus Rectum and Eccentricity using the formula - Semi Major Axis of Ellipse = Latus Rectum of Ellipse/(2*(1-Eccentricity of Ellipse^2)).

What are the other ways to Calculate Semi Major Axis of Ellipse?

Here are the different ways to Calculate Semi Major Axis of Ellipse-

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

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

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

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

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

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Semi Major Axis of Ellipse given Latus Rectum and Eccentricity Formula

​GoSemi Major Axis of Ellipse given Linear Eccentricity and Semi Minor Axis Formula

​GoSemi Major Axis of Ellipse given Area and Semi Minor Axis Formula

Semi Major Axis of Ellipse given Latus Rectum and Eccentricity Example

Semi Major Axis of Ellipse given Latus Rectum and Eccentricity Solution

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

Other Formulas to find Semi Major Axis of Ellipse

Other formulas in Major Axis of Ellipse category

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

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

Variable Name

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

GoSemi Major Axis of Ellipse given Area and Semi Minor Axis Formula