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Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis Formula

GoFocal Parameter of Hyperbola Formula

GoFocal Parameter of Hyperbola given Latus Rectum and Semi Conjugate Axis Formula

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Focal Parameter of Hyperbola is the shortest distance between any of the foci and directrix of the corresponding wing of the Hyperbola. Check FAQs

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

p - Focal Parameter of Hyperbola?a - Semi Transverse Axis of Hyperbola?e - Eccentricity of Hyperbola?

Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis Example

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Here is how the Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis equation looks like with Values.

Here is how the Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis equation looks like with Units.

Here is how the Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis equation looks like.

13.3333 = \frac{5}{3} \cdot (3^{2} - 1)

13.3333m = \frac{5m}{3m} \cdot ({3m}^{2} - 1)

13.3333 = \frac{5}{3} \cdot (3^{2} - 1)

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Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis Solution

Follow our step by step solution on how to calculate Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

p = \frac{5m}{3m} \cdot ({3m}^{2} - 1)

Next Step Prepare to Evaluate

∴

p = \frac{5}{3} \cdot (3^{2} - 1)

Next Step Evaluate

∴

p = 13.3333333333333m

LAST Step Rounding Answer

∴

p = 13.3333m

Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis Formula Elements

Variables

Focal Parameter of Hyperbola

Focal Parameter of Hyperbola is the shortest distance between any of the foci and directrix of the corresponding wing of the Hyperbola.

Symbol: p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Focal Parameter of Hyperbola

Semi Transverse Axis of Hyperbola

Semi Transverse Axis of Hyperbola is half of the distance between the vertices of the Hyperbola.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semi Transverse Axis of Hyperbola

Eccentricity of Hyperbola

Eccentricity of Hyperbola is the ratio of distances of any point on the Hyperbola from focus and the directrix, or it is the ratio of linear eccentricity and semi transverse axis of the Hyperbola.

Symbol: e

Measurement: LengthUnit: m

Note: Value should be greater than 1.

Formulas to find Eccentricity of Hyperbola

Other Formulas to find Focal Parameter of Hyperbola

Go Focal Parameter of Hyperbola

p = \frac{b^{2}}{\sqrt{a^{2} + b^{2}}}

Go Focal Parameter of Hyperbola given Latus Rectum and Semi Conjugate Axis

p = \frac{b^{2}}{\sqrt{{(\frac{2 \cdot b^{2}}{L})}^{2} + b^{2}}}

Go Focal Parameter of Hyperbola given Linear Eccentricity and Semi Conjugate Axis

p = \frac{b^{2}}{c}

How to Evaluate Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis?

Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis evaluator uses Focal Parameter of Hyperbola = Semi Transverse Axis of Hyperbola/Eccentricity of Hyperbola*(Eccentricity of Hyperbola^2-1) to evaluate the Focal Parameter of Hyperbola, The Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis formula is defined as the shortest distance between any of the foci and directrix of the corresponding wing of the Hyperbola and is calculated using the eccentricity and semi-transverse axis of the Hyperbola. Focal Parameter of Hyperbola is denoted by p symbol.

How to evaluate Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis using this online evaluator? To use this online evaluator for Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis, enter Semi Transverse Axis of Hyperbola (a) & Eccentricity of Hyperbola (e) and hit the calculate button.

FAQs on Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis

What is the formula to find Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis?

The formula of Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis is expressed as Focal Parameter of Hyperbola = Semi Transverse Axis of Hyperbola/Eccentricity of Hyperbola*(Eccentricity of Hyperbola^2-1). Here is an example- 13.33333 = 5/3*(3^2-1).

How to calculate Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis?

With Semi Transverse Axis of Hyperbola (a) & Eccentricity of Hyperbola (e) we can find Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis using the formula - Focal Parameter of Hyperbola = Semi Transverse Axis of Hyperbola/Eccentricity of Hyperbola*(Eccentricity of Hyperbola^2-1).

What are the other ways to Calculate Focal Parameter of Hyperbola?

Here are the different ways to Calculate Focal Parameter of Hyperbola-

Focal Parameter of Hyperbola=(Semi Conjugate Axis of Hyperbola^2)/sqrt(Semi Transverse Axis of Hyperbola^2+Semi Conjugate Axis of Hyperbola^2)
Focal Parameter of Hyperbola=Semi Conjugate Axis of Hyperbola^2/sqrt(((2*Semi Conjugate Axis of Hyperbola^2)/Latus Rectum of Hyperbola)^2+Semi Conjugate Axis of Hyperbola^2)
Focal Parameter of Hyperbola=(Semi Conjugate Axis of Hyperbola^2)/Linear Eccentricity of Hyperbola

Can the Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis be negative?

No, the Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis, measured in Length cannot be negative.

Which unit is used to measure Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis?

Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis can be measured.

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Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis Formula

​GoFocal Parameter of Hyperbola Formula

​GoFocal Parameter of Hyperbola given Latus Rectum and Semi Conjugate Axis Formula

Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis Example

Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis Solution

Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis Formula Elements

Other Formulas to find Focal Parameter of Hyperbola

How to Evaluate Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis?

FAQs on Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis

Variable Name

GoFocal Parameter of Hyperbola Formula

GoFocal Parameter of Hyperbola given Latus Rectum and Semi Conjugate Axis Formula