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Focal Parameter of Hyperbola Formula

GoFocal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis 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{b^{2}}{\sqrt{a^{2} + b^{2}}}

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

Focal Parameter of Hyperbola Example

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

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

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

11.0769 = \frac{12^{2}}{\sqrt{5^{2} + 12^{2}}}

11.0769m = \frac{{12m}^{2}}{\sqrt{{5m}^{2} + {12m}^{2}}}

11.0769 = \frac{12^{2}}{\sqrt{5^{2} + 12^{2}}}

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Focal Parameter of Hyperbola Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

p = \frac{{12m}^{2}}{\sqrt{{5m}^{2} + {12m}^{2}}}

Next Step Prepare to Evaluate

∴

p = \frac{12^{2}}{\sqrt{5^{2} + 12^{2}}}

Next Step Evaluate

∴

p = 11.0769230769231m

LAST Step Rounding Answer

∴

p = 11.0769m

Focal Parameter of Hyperbola 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

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

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 given Eccentricity and Semi Transverse Axis

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

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?

Focal Parameter of Hyperbola evaluator uses Focal Parameter of Hyperbola = (Semi Conjugate Axis of Hyperbola^2)/sqrt(Semi Transverse Axis of Hyperbola^2+Semi Conjugate Axis of Hyperbola^2) to evaluate the Focal Parameter of Hyperbola, Focal Parameter of Hyperbola formula is defined as the shortest distance between any of the foci and directrix of the corresponding wing of the Hyperbola. Focal Parameter of Hyperbola is denoted by p symbol.

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

FAQs on Focal Parameter of Hyperbola

What is the formula to find Focal Parameter of Hyperbola?

The formula of Focal Parameter of Hyperbola is expressed as Focal Parameter of Hyperbola = (Semi Conjugate Axis of Hyperbola^2)/sqrt(Semi Transverse Axis of Hyperbola^2+Semi Conjugate Axis of Hyperbola^2). Here is an example- 11.07692 = (12^2)/sqrt(5^2+12^2).

How to calculate Focal Parameter of Hyperbola?

With Semi Conjugate Axis of Hyperbola (b) & Semi Transverse Axis of Hyperbola (a) we can find Focal Parameter of Hyperbola using the formula - Focal Parameter of Hyperbola = (Semi Conjugate Axis of Hyperbola^2)/sqrt(Semi Transverse Axis of Hyperbola^2+Semi Conjugate Axis of Hyperbola^2). 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 Transverse Axis of Hyperbola/Eccentricity of Hyperbola*(Eccentricity of Hyperbola^2-1)
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 be negative?

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

Which unit is used to measure Focal Parameter of Hyperbola?

Focal Parameter of Hyperbola 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 can be measured.

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Focal Parameter of Hyperbola Formula

​GoFocal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis Formula

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

Focal Parameter of Hyperbola Example

Focal Parameter of Hyperbola Solution

Focal Parameter of Hyperbola Formula Elements

Other Formulas to find Focal Parameter of Hyperbola

How to Evaluate Focal Parameter of Hyperbola?

FAQs on Focal Parameter of Hyperbola

Variable Name

GoFocal Parameter of Hyperbola given Eccentricity and Semi Transverse Axis Formula

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