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Semi Transverse Axis of Hyperbola given Eccentricity Formula

GoSemi Transverse Axis of Hyperbola Formula

GoSemi Transverse Axis of Hyperbola given Latus Rectum Formula

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

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

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

Semi Transverse Axis of Hyperbola given Eccentricity Example

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

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

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

4.2426 = \frac{12}{\sqrt{3^{2} - 1}}

4.2426m = \frac{12m}{\sqrt{{3m}^{2} - 1}}

4.2426 = \frac{12}{\sqrt{3^{2} - 1}}

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Semi Transverse Axis of Hyperbola given Eccentricity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

a = 4.24264068711928m

LAST Step Rounding Answer

∴

a = 4.2426m

Semi Transverse Axis of Hyperbola given Eccentricity Formula Elements

Variables

Functions

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

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 Semi Transverse Axis of Hyperbola

Go Semi Transverse Axis of Hyperbola

a = \frac{2a}{2}

Go Semi Transverse Axis of Hyperbola given Latus Rectum

a = \frac{2 \cdot b^{2}}{L}

Go Semi Transverse Axis of Hyperbola given Linear Eccentricity

a = \sqrt{c^{2} - b^{2}}

Go Semi Transverse Axis of Hyperbola given Latus Rectum and Eccentricity

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

Other formulas in Transverse Axis of Hyperbola category

Go Transverse Axis of Hyperbola

2a = 2 \cdot a

Go Transverse Axis of Hyperbola given Latus Rectum and Eccentricity

2a = \frac{L}{e^{2} - 1}

Go Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity

2a = \frac{2 \cdot c}{e}

How to Evaluate Semi Transverse Axis of Hyperbola given Eccentricity?

Semi Transverse Axis of Hyperbola given Eccentricity evaluator uses Semi Transverse Axis of Hyperbola = Semi Conjugate Axis of Hyperbola/sqrt(Eccentricity of Hyperbola^2-1) to evaluate the Semi Transverse Axis of Hyperbola, The Semi Transverse Axis of Hyperbola given Eccentricity formula is defined as half of the line segment joining two vertices of the Hyperbola and is calculated using the eccentricity and the semi-conjugate axis of the Hyperbola. Semi Transverse Axis of Hyperbola is denoted by a symbol.

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

FAQs on Semi Transverse Axis of Hyperbola given Eccentricity

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

The formula of Semi Transverse Axis of Hyperbola given Eccentricity is expressed as Semi Transverse Axis of Hyperbola = Semi Conjugate Axis of Hyperbola/sqrt(Eccentricity of Hyperbola^2-1). Here is an example- 4.242641 = 12/sqrt(3^2-1).

How to calculate Semi Transverse Axis of Hyperbola given Eccentricity?

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

What are the other ways to Calculate Semi Transverse Axis of Hyperbola?

Here are the different ways to Calculate Semi Transverse Axis of Hyperbola-

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

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

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

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

Semi Transverse Axis 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 Semi Transverse Axis of Hyperbola given Eccentricity can be measured.

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Semi Transverse Axis of Hyperbola given Eccentricity Formula

​GoSemi Transverse Axis of Hyperbola Formula

​GoSemi Transverse Axis of Hyperbola given Latus Rectum Formula

Semi Transverse Axis of Hyperbola given Eccentricity Example

Semi Transverse Axis of Hyperbola given Eccentricity Solution

Semi Transverse Axis of Hyperbola given Eccentricity Formula Elements

Other Formulas to find Semi Transverse Axis of Hyperbola

Other formulas in Transverse Axis of Hyperbola category

How to Evaluate Semi Transverse Axis of Hyperbola given Eccentricity?

FAQs on Semi Transverse Axis of Hyperbola given Eccentricity

Variable Name

GoSemi Transverse Axis of Hyperbola Formula

GoSemi Transverse Axis of Hyperbola given Latus Rectum Formula