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Focal Parameter of Hyperbola given Eccentricity and Semi Conjugate Axis 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}{\frac{e}{\sqrt{e^{2} - 1}}}

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

Focal Parameter of Hyperbola given Eccentricity and Semi Conjugate Axis Example

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

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

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

11.3137 = \frac{12}{\frac{3}{\sqrt{3^{2} - 1}}}

11.3137m = \frac{12m}{\frac{3m}{\sqrt{{3m}^{2} - 1}}}

11.3137 = \frac{12}{\frac{3}{\sqrt{3^{2} - 1}}}

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Focal Parameter of Hyperbola given Eccentricity and Semi Conjugate Axis Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

p = \frac{12m}{\frac{3m}{\sqrt{{3m}^{2} - 1}}}

Next Step Prepare to Evaluate

∴

p = \frac{12}{\frac{3}{\sqrt{3^{2} - 1}}}

Next Step Evaluate

∴

p = 11.3137084989848m

LAST Step Rounding Answer

∴

p = 11.3137m

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

Variables

Functions

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

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

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 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 Linear Eccentricity and Semi Transverse Axis

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

Go Focal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis

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

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

Focal Parameter of Hyperbola given Eccentricity and Semi Conjugate Axis evaluator uses Focal Parameter of Hyperbola = Semi Conjugate Axis of Hyperbola/(Eccentricity of Hyperbola/sqrt(Eccentricity of Hyperbola^2-1)) to evaluate the Focal Parameter of Hyperbola, The Focal Parameter of Hyperbola given Eccentricity and Semi Conjugate 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-conjugate axis of the Hyperbola. Focal Parameter of Hyperbola is denoted by p symbol.

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

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

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

The formula of Focal Parameter of Hyperbola given Eccentricity and Semi Conjugate Axis is expressed as Focal Parameter of Hyperbola = Semi Conjugate Axis of Hyperbola/(Eccentricity of Hyperbola/sqrt(Eccentricity of Hyperbola^2-1)). Here is an example- 11.31371 = 12/(3/sqrt(3^2-1)).

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

With Semi Conjugate Axis of Hyperbola (b) & Eccentricity of Hyperbola (e) we can find Focal Parameter of Hyperbola given Eccentricity and Semi Conjugate Axis using the formula - Focal Parameter of Hyperbola = Semi Conjugate Axis of Hyperbola/(Eccentricity of Hyperbola/sqrt(Eccentricity of Hyperbola^2-1)). This formula also uses Square Root (sqrt) function(s).

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=(Linear Eccentricity of Hyperbola^2-Semi Transverse Axis of Hyperbola^2)/Linear Eccentricity of Hyperbola

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

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

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

Focal Parameter of Hyperbola given Eccentricity and Semi Conjugate 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 Conjugate Axis can be measured.

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Focal Parameter of Hyperbola given Eccentricity and Semi Conjugate Axis Formula

​GoFocal Parameter of Hyperbola Formula

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

Focal Parameter of Hyperbola given Eccentricity and Semi Conjugate Axis Example

Focal Parameter of Hyperbola given Eccentricity and Semi Conjugate Axis Solution

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

Other Formulas to find Focal Parameter of Hyperbola

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

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

Variable Name

GoFocal Parameter of Hyperbola Formula

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