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Focal Parameter of Hyperbola given Eccentricity Formula

GoFocal Parameter of Hyperbola Formula

GoFocal Parameter of Hyperbola given Linear Eccentricity 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{b^{2}}{a \cdot e}

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

Focal Parameter of Hyperbola given Eccentricity Example

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

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

Here is how the Focal Parameter of Hyperbola given Eccentricity equation looks like.

9.6 = \frac{12^{2}}{5 \cdot 3}

9.6m = \frac{{12m}^{2}}{5m \cdot 3m}

9.6 = \frac{12^{2}}{5 \cdot 3}

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Focal Parameter of Hyperbola given Eccentricity Solution

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

FIRST Step Consider the formula

p = \frac{b^{2}}{a \cdot e}

Next Step Substitute values of Variables

∴

p = \frac{{12m}^{2}}{5m \cdot 3m}

Next Step Prepare to Evaluate

∴

p = \frac{12^{2}}{5 \cdot 3}

LAST Step Evaluate

∴

p = 9.6m

Focal Parameter of Hyperbola given Eccentricity 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 Conjugate Axis of Hyperbola

Semi Conjugate Axis of Hyperbola is half of the tangent from any of the vertices of the Hyperbola and chord to the circle passing through the foci and centered at the center of the Hyperbola.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semi Conjugate Axis 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 Linear Eccentricity and Semi Conjugate Axis

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

Go Focal Parameter of Hyperbola given Eccentricity and Semi Conjugate Axis

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

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

p = \frac{c^{2} - a^{2}}{c}

How to Evaluate Focal Parameter of Hyperbola given Eccentricity?

Focal Parameter of Hyperbola given Eccentricity evaluator uses Focal Parameter of Hyperbola = Semi Conjugate Axis of Hyperbola^2/(Semi Transverse Axis of Hyperbola*Eccentricity of Hyperbola) to evaluate the Focal Parameter of Hyperbola, The Focal Parameter of Hyperbola given Eccentricity 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 of the Hyperbola. Focal Parameter of Hyperbola is denoted by p symbol.

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

FAQs on Focal Parameter of Hyperbola given Eccentricity

What is the formula to find Focal Parameter of Hyperbola given Eccentricity?

The formula of Focal Parameter of Hyperbola given Eccentricity is expressed as Focal Parameter of Hyperbola = Semi Conjugate Axis of Hyperbola^2/(Semi Transverse Axis of Hyperbola*Eccentricity of Hyperbola). Here is an example- 9.6 = 12^2/(5*3).

How to calculate Focal Parameter of Hyperbola given Eccentricity?

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

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)/Linear Eccentricity of Hyperbola
Focal Parameter of Hyperbola=Semi Conjugate Axis of Hyperbola/(Eccentricity of Hyperbola/sqrt(Eccentricity of Hyperbola^2-1))

Can the Focal Parameter of Hyperbola given Eccentricity be negative?

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

Which unit is used to measure Focal Parameter of Hyperbola given Eccentricity?

Focal Parameter of Hyperbola given Eccentricity 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 can be measured.

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Focal Parameter of Hyperbola given Eccentricity Formula

​GoFocal Parameter of Hyperbola Formula

​GoFocal Parameter of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Formula

Focal Parameter of Hyperbola given Eccentricity Example

Focal Parameter of Hyperbola given Eccentricity Solution

Focal Parameter of Hyperbola given Eccentricity Formula Elements

Other Formulas to find Focal Parameter of Hyperbola

How to Evaluate Focal Parameter of Hyperbola given Eccentricity?

FAQs on Focal Parameter of Hyperbola given Eccentricity

Variable Name

GoFocal Parameter of Hyperbola Formula

GoFocal Parameter of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Formula