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Linear Eccentricity of Hyperbola Formula

GoLinear Eccentricity of Hyperbola given Eccentricity and Semi Conjugate Axis Formula

GoLinear Eccentricity of Hyperbola given Latus Rectum and Semi Transverse Axis Formula

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Linear Eccentricity of Hyperbola is half of the distance between foci of the Hyperbola. Check FAQs

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

c - Linear Eccentricity of Hyperbola?a - Semi Transverse Axis of Hyperbola?b - Semi Conjugate Axis of Hyperbola?

Linear Eccentricity of Hyperbola Example

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Here is how the Linear Eccentricity of Hyperbola equation looks like with Values.

Here is how the Linear Eccentricity of Hyperbola equation looks like with Units.

Here is how the Linear Eccentricity of Hyperbola equation looks like.

13 = \sqrt{5^{2} + 12^{2}}

13m = \sqrt{{5m}^{2} + {12m}^{2}}

13 = \sqrt{5^{2} + 12^{2}}

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Linear Eccentricity of Hyperbola Solution

Follow our step by step solution on how to calculate Linear Eccentricity of Hyperbola?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

c = \sqrt{{5m}^{2} + {12m}^{2}}

Next Step Prepare to Evaluate

∴

c = \sqrt{5^{2} + 12^{2}}

LAST Step Evaluate

∴

c = 13m

Linear Eccentricity of Hyperbola Formula Elements

Variables

Functions

Linear Eccentricity of Hyperbola

Linear Eccentricity of Hyperbola is half of the distance between foci of the Hyperbola.

Symbol: c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Linear Eccentricity 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

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

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 Linear Eccentricity of Hyperbola

Go Linear Eccentricity of Hyperbola given Eccentricity and Semi Conjugate Axis

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

Go Linear Eccentricity of Hyperbola given Latus Rectum and Semi Transverse Axis

c = \sqrt{1 + \frac{L}{2 \cdot a}} \cdot a

How to Evaluate Linear Eccentricity of Hyperbola?

Linear Eccentricity of Hyperbola evaluator uses Linear Eccentricity of Hyperbola = sqrt(Semi Transverse Axis of Hyperbola^2+Semi Conjugate Axis of Hyperbola^2) to evaluate the Linear Eccentricity of Hyperbola, Linear Eccentricity of Hyperbola formula is defined as half of the distance between foci of the Hyperbola. Linear Eccentricity of Hyperbola is denoted by c symbol.

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

FAQs on Linear Eccentricity of Hyperbola

What is the formula to find Linear Eccentricity of Hyperbola?

The formula of Linear Eccentricity of Hyperbola is expressed as Linear Eccentricity of Hyperbola = sqrt(Semi Transverse Axis of Hyperbola^2+Semi Conjugate Axis of Hyperbola^2). Here is an example- 13 = sqrt(5^2+12^2).

How to calculate Linear Eccentricity of Hyperbola?

With Semi Transverse Axis of Hyperbola (a) & Semi Conjugate Axis of Hyperbola (b) we can find Linear Eccentricity of Hyperbola using the formula - Linear Eccentricity of Hyperbola = 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 Linear Eccentricity of Hyperbola?

Here are the different ways to Calculate Linear Eccentricity of Hyperbola-

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

Can the Linear Eccentricity of Hyperbola be negative?

No, the Linear Eccentricity of Hyperbola, measured in Length cannot be negative.

Which unit is used to measure Linear Eccentricity of Hyperbola?

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

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Linear Eccentricity of Hyperbola Formula

​GoLinear Eccentricity of Hyperbola given Eccentricity and Semi Conjugate Axis Formula

​GoLinear Eccentricity of Hyperbola given Latus Rectum and Semi Transverse Axis Formula

Linear Eccentricity of Hyperbola Example

Linear Eccentricity of Hyperbola Solution

Linear Eccentricity of Hyperbola Formula Elements

Other Formulas to find Linear Eccentricity of Hyperbola

How to Evaluate Linear Eccentricity of Hyperbola?

FAQs on Linear Eccentricity of Hyperbola

Variable Name

GoLinear Eccentricity of Hyperbola given Eccentricity and Semi Conjugate Axis Formula

GoLinear Eccentricity of Hyperbola given Latus Rectum and Semi Transverse Axis Formula