FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Eccentricity of Hyperbola given Focal Parameter Formula

GoEccentricity of Hyperbola Formula

GoEccentricity of Hyperbola given Linear Eccentricity and Semi Transverse Axis Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Eccentricity of Hyperbola given Focal Parameter Example

With values

With units

Only example

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

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

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

2.6182 = \frac{12^{2}}{5 \cdot 11}

2.6182m = \frac{{12m}^{2}}{5m \cdot 11m}

2.6182 = \frac{12^{2}}{5 \cdot 11}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Eccentricity of Hyperbola given Focal Parameter

Eccentricity of Hyperbola given Focal Parameter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e = \frac{{12m}^{2}}{5m \cdot 11m}

Next Step Prepare to Evaluate

∴

e = \frac{12^{2}}{5 \cdot 11}

Next Step Evaluate

∴

e = 2.61818181818182m

LAST Step Rounding Answer

∴

e = 2.6182m

Eccentricity of Hyperbola given Focal Parameter Formula Elements

Variables

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

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

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

Other Formulas to find Eccentricity of Hyperbola

Go Eccentricity of Hyperbola

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

Go Eccentricity of Hyperbola given Linear Eccentricity and Semi Transverse Axis

e = \frac{c}{a}

Go Eccentricity of Hyperbola given Latus Rectum and Semi Conjugate Axis

e = \sqrt{1 + \frac{{(L)}^{2}}{{(2 \cdot b)}^{2}}}

How to Evaluate Eccentricity of Hyperbola given Focal Parameter?

Eccentricity of Hyperbola given Focal Parameter evaluator uses Eccentricity of Hyperbola = Semi Conjugate Axis of Hyperbola^2/(Semi Transverse Axis of Hyperbola*Focal Parameter of Hyperbola) to evaluate the Eccentricity of Hyperbola, The Eccentricity of Hyperbola given Focal Parameter formula is defined as the ratio of distances of any point on the Hyperbola from focus and the directrix and is calculated using the focal parameter of the Hyperbola. Eccentricity of Hyperbola is denoted by e symbol.

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

FAQs on Eccentricity of Hyperbola given Focal Parameter

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

The formula of Eccentricity of Hyperbola given Focal Parameter is expressed as Eccentricity of Hyperbola = Semi Conjugate Axis of Hyperbola^2/(Semi Transverse Axis of Hyperbola*Focal Parameter of Hyperbola). Here is an example- 2.618182 = 12^2/(5*11).

How to calculate Eccentricity of Hyperbola given Focal Parameter?

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

What are the other ways to Calculate Eccentricity of Hyperbola?

Here are the different ways to Calculate Eccentricity of Hyperbola-

Eccentricity of Hyperbola=sqrt(1+(Semi Conjugate Axis of Hyperbola^2)/(Semi Transverse Axis of Hyperbola^2))
Eccentricity of Hyperbola=Linear Eccentricity of Hyperbola/Semi Transverse Axis of Hyperbola
Eccentricity of Hyperbola=sqrt(1+(Latus Rectum of Hyperbola)^2/(2*Semi Conjugate Axis of Hyperbola)^2)

Can the Eccentricity of Hyperbola given Focal Parameter be negative?

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Eccentricity of Hyperbola given Focal Parameter Formula

​GoEccentricity of Hyperbola Formula

​GoEccentricity of Hyperbola given Linear Eccentricity and Semi Transverse Axis Formula

Eccentricity of Hyperbola given Focal Parameter Example

Eccentricity of Hyperbola given Focal Parameter Solution

Eccentricity of Hyperbola given Focal Parameter Formula Elements

Other Formulas to find Eccentricity of Hyperbola

How to Evaluate Eccentricity of Hyperbola given Focal Parameter?

FAQs on Eccentricity of Hyperbola given Focal Parameter

Variable Name

GoEccentricity of Hyperbola Formula

GoEccentricity of Hyperbola given Linear Eccentricity and Semi Transverse Axis Formula