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Semi Transverse Axis of Hyperbola given Focal Parameter Formula

GoSemi Transverse Axis of Hyperbola given Linear Eccentricity 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}{p} \cdot \sqrt{b^{2} - p^{2}}

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

Semi Transverse Axis of Hyperbola given Focal Parameter Example

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

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

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

5.2318 = \frac{12}{11} \cdot \sqrt{12^{2} - 11^{2}}

5.2318m = \frac{12m}{11m} \cdot \sqrt{{12m}^{2} - {11m}^{2}}

5.2318 = \frac{12}{11} \cdot \sqrt{12^{2} - 11^{2}}

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Semi Transverse Axis of Hyperbola given Focal Parameter Solution

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

FIRST Step Consider the formula

a = \frac{b}{p} \cdot \sqrt{b^{2} - p^{2}}

Next Step Substitute values of Variables

∴

a = \frac{12m}{11m} \cdot \sqrt{{12m}^{2} - {11m}^{2}}

Next Step Prepare to Evaluate

∴

a = \frac{12}{11} \cdot \sqrt{12^{2} - 11^{2}}

Next Step Evaluate

∴

a = 5.23181620725024m

LAST Step Rounding Answer

∴

a = 5.2318m

Semi Transverse Axis of Hyperbola given Focal Parameter 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

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

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 given Linear Eccentricity

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

Other formulas in Transverse Axis of Hyperbola category

Go Conjugate Axis of Hyperbola

2b = 2 \cdot b

Go Semi Conjugate Axis of Hyperbola given Eccentricity

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

Go Semi Conjugate Axis of Hyperbola given Latus Rectum

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

Go Transverse Axis of Hyperbola

2a = 2 \cdot a

How to Evaluate Semi Transverse Axis of Hyperbola given Focal Parameter?

Semi Transverse Axis of Hyperbola given Focal Parameter evaluator uses Semi Transverse Axis of Hyperbola = Semi Conjugate Axis of Hyperbola/Focal Parameter of Hyperbola*sqrt(Semi Conjugate Axis of Hyperbola^2-Focal Parameter of Hyperbola^2) to evaluate the Semi Transverse Axis of Hyperbola, The Semi Transverse Axis of Hyperbola given Focal Parameter formula is defined as half of the line segment joining two vertices of the Hyperbola and is calculated using the focal parameter of the Hyperbola. Semi Transverse Axis of Hyperbola is denoted by a symbol.

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

FAQs on Semi Transverse Axis of Hyperbola given Focal Parameter

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

The formula of Semi Transverse Axis of Hyperbola given Focal Parameter is expressed as Semi Transverse Axis of Hyperbola = Semi Conjugate Axis of Hyperbola/Focal Parameter of Hyperbola*sqrt(Semi Conjugate Axis of Hyperbola^2-Focal Parameter of Hyperbola^2). Here is an example- 5.231816 = 12/11*sqrt(12^2-11^2).

How to calculate Semi Transverse Axis of Hyperbola given Focal Parameter?

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

Can the Semi Transverse Axis of Hyperbola given Focal Parameter be negative?

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

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

Semi Transverse Axis 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 Semi Transverse Axis of Hyperbola given Focal Parameter can be measured.

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Semi Transverse Axis of Hyperbola given Focal Parameter Formula

​GoSemi Transverse Axis of Hyperbola given Linear Eccentricity Formula

Semi Transverse Axis of Hyperbola given Focal Parameter Example

Semi Transverse Axis of Hyperbola given Focal Parameter Solution

Semi Transverse Axis of Hyperbola given Focal Parameter 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 Focal Parameter?

FAQs on Semi Transverse Axis of Hyperbola given Focal Parameter

Variable Name

GoSemi Transverse Axis of Hyperbola given Linear Eccentricity Formula